期刊文献+
共找到115篇文章
< 1 2 6 >
每页显示 20 50 100
GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES 被引量:1
1
作者 唐金芳 张石生 刘敏 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期602-613,共12页
The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converge... The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results extend and improve some recent known results. 展开更多
关键词 General split feasibility problems nonexpansive mappings hilbert space strong convergence
下载PDF
Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator on the Unit Ball in Hilbert Spaces 被引量:1
2
作者 LIU Tao FENG Shu-xia YAN Chun-yan 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期125-131,共7页
In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost ... In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of typeβ and order α, almost starlikeness of order α, spirallikeness of type ofβ and starlikeness. 展开更多
关键词 Generalized Roper-Suffridge extension oprator Loewner chains hilbert Space almost spirallike mapping of typeβ and order α
下载PDF
AREA INTEGRAL FUNCTIONS AND H∞ FUNCTIONAL CALCULUS FOR SECTORIAL OPERATORS ON HILBERT SPACES
3
作者 陈泽乾 孙牧 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期989-997,共9页
Area integral functions are introduced for sectorial operators on Hilbert spaces. We establish the equivalence relationship between the square and area integral functions. This immediately extends McIntosh/Yagi's res... Area integral functions are introduced for sectorial operators on Hilbert spaces. We establish the equivalence relationship between the square and area integral functions. This immediately extends McIntosh/Yagi's results on H∞ functional calculus of sectorial operators on Hilbert spaces to the case when the square functions are replaced by the area integral functions. 展开更多
关键词 sectorial operator H∞ functional calculus area integral function squarefunction hilbert space
下载PDF
On Solving a System of Generalized Mixed Equilibrium-like Problems in Hilbert Spaces
4
作者 LIU Bang-tao LUO Min 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期180-189,共10页
A system of generalized mixed equilibrium-like problems is introduced and the existence of its solutions is shown by using the auxiliary principle technique in Hilbert spaces.
关键词 equilibrium-like problem auxiliary principle iterative algorithm hilbert space
下载PDF
Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces
5
作者 SHANG Mei-juan WANG Zhi-guo 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期164-169,共6页
In this paper,we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces.Our results mainly improve the corresponding resul... In this paper,we consider the solvability of generalized variational inequalities involving multi-valued relaxed monotone operators in the framework of Hilbert spaces.Our results mainly improve the corresponding results announced by Verma[R U Verma,Generalized variational inequalities involving multivalued relaxed monotone operators,Appl Math Lett,1997,10:107-109]and many others. 展开更多
关键词 variational inequality hilbert space relaxed(γ r)-cocoercive mapping
下载PDF
ON APPROXIMATION BY SPHERICAL REPRODUCING KERNEL HILBERT SPACES
6
作者 Zhixiang Chen 《Analysis in Theory and Applications》 2007年第4期325-333,共9页
The spherical approximation between two nested reproducing kernels Hilbert spaces generated from different smooth kernels is investigated. It is shown that the functions of a space can be approximated by that of the s... The spherical approximation between two nested reproducing kernels Hilbert spaces generated from different smooth kernels is investigated. It is shown that the functions of a space can be approximated by that of the subspace with better smoothness. Furthermore, the upper bound of approximation error is given. 展开更多
关键词 spherical harmonic polynomial radial basis function reproducing kernel hilbert space error estimates
下载PDF
A New Self Adaptive Inertial Subgradient Extragradient Iterative Algorithm for Solving Variational Inequalities of Pseudomonotone Mappings in Real Hilbert Spaces
7
作者 HU Shaotao WANG Yuanheng +1 位作者 TANG Yan JING Ping 《数学进展》 CSCD 北大核心 2024年第6期1285-1304,共20页
The main purpose of this paper is to introduce and deal with a self adaptive inertial subgradient extragradient iterative algorithm with a new and interesting stepsize rule in real Hilbert spaces.Under some proper con... The main purpose of this paper is to introduce and deal with a self adaptive inertial subgradient extragradient iterative algorithm with a new and interesting stepsize rule in real Hilbert spaces.Under some proper control conditions imposed on the coefficients and operators,we prove a new strong convergence result for solving variational inequalities with regard to pseudomonotone and Lipschitzian operators.Moreover,some numerical simulation results are given to show the rationality and validity of our algorithm. 展开更多
关键词 strong convergence variational inequality extragradient method pseudomonotone operator hilbert space
原文传递
Separability for Positive Operators on Tensor Product of Hilbert Spaces
8
作者 Jin Chuan HOU Jin Fei CHAI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2021年第6期893-910,共18页
The separability and the entanglement(that is,inseparability)of the composite quantum states play important roles in quantum information theory.Mathematically,a quantum state is a trace-class positive operator with tr... The separability and the entanglement(that is,inseparability)of the composite quantum states play important roles in quantum information theory.Mathematically,a quantum state is a trace-class positive operator with trace one acting on a complex separable Hilbert space.In this paper,in more general frame,the notion of separability for quantum states is generalized to bounded positive operators acting on tensor product of Hilbert spaces.However,not like the quantum state case,there are different kinds of separability for positive operators with different operator topologies.Four types of such separability are discussed;several criteria such as the finite rank entanglement witness criterion,the positive elementary operator criterion and PPT criterion to detect the separability of the positive operators are established;some methods to construct separable positive operators by operator matrices are provided.These may also make us to understand the separability and entanglement of quantum states better,and may be applied to find new separable quantum states. 展开更多
关键词 hilbert spaces tensor products positive operators SEPARABILITY ENTANGLEMENT
原文传递
Ordered Reproducing Hilbert Spaces over C^2
9
作者 Sheng Zhao HOU Jie WANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第3期503-510,共8页
In this paper, we study the relation between the ordered reproducing Hilbert space and its reproducing kernel. A complete description of a similar and unitary equivalence of two quasi-invariant subspaces generated by ... In this paper, we study the relation between the ordered reproducing Hilbert space and its reproducing kernel. A complete description of a similar and unitary equivalence of two quasi-invariant subspaces generated by polynomials with leading terms is given. 展开更多
关键词 ordered reproducing hilbert spaces quasi-invariant subspaces
原文传递
Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces
10
作者 QIN Xiao Long WU Chang Qun SHANG Mei Juan 《Journal of Mathematical Research and Exposition》 CSCD 2009年第1期43-51,共9页
The Mann iterations have no strong convergence even for nonexpansive mappings in Hilbert spaces. The aim of this paper is to propose a modification of the Mann iterations for strictly asymptotically pseudocontractive ... The Mann iterations have no strong convergence even for nonexpansive mappings in Hilbert spaces. The aim of this paper is to propose a modification of the Mann iterations for strictly asymptotically pseudocontractive maps in Hilbert spaces to have strong convergence. Our results extend those of Kim, Xu, Nakajo, Takahashi and many others. 展开更多
关键词 nonexpansive mappings strictly pseudocontractive mappings hilbert spaces projection.
下载PDF
NORM RETRIEVAL BY PROJECTIONS ON INFINITE-DIMENSIONAL HILBERT SPACES
11
作者 Yan Zhou 《Annals of Applied Mathematics》 2017年第3期324-330,共7页
We study the norm retrieval by projections on an infinite-dimensional Hilbert space H. Let {ei}i∈I be an orthonormal basis in H and Wi = {ei}^⊥ for all i ∈ I. We show that {Wi}i∈I does norm retrieval if and only i... We study the norm retrieval by projections on an infinite-dimensional Hilbert space H. Let {ei}i∈I be an orthonormal basis in H and Wi = {ei}^⊥ for all i ∈ I. We show that {Wi}i∈I does norm retrieval if and only if I is an infinite subset of N. We also give some properties of norm retrieval by projections. 展开更多
关键词 norm retrieval phase retrieval FRAMES hilbert spaces
原文传递
Approximate controllability of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces
12
作者 P.MUTHUKUMAR C.RAJIVGANTHI 《控制理论与应用(英文版)》 EI CSCD 2013年第3期351-358,共8页
Many practical systems in physical and technical sciences have impulsive dynamical behaviors during the evolution process which can be modeled by impulsive differential equations. In this paper, we prove the approxima... Many practical systems in physical and technical sciences have impulsive dynamical behaviors during the evolution process which can be modeled by impulsive differential equations. In this paper, we prove the approximate controllability of control systems governed by a class of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces. Sufficient conditions for approximate controllability of the control systems are established under the natural assumption that the corresponding linear system is approximately controllable. The results are obtained by using semigroup theory, stochastic analysis techniques, fixed point approach and abstract phase space axioms. An example is provided to illustrate the application of the obtained results. 展开更多
关键词 Approximate controllability hilbert space Impulsive neutral stochastic functional differential system Semigroup theory Sadovskii’s fixed point theorem
原文传递
Analytic Extension of Functions from Analytic Hilbert Spaces
13
作者 Kai WANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第3期321-326,共6页
Let M be an invariant subspace of H^2 v,It is shown that for each f∈ M^⊥,f can be analytically extended across эBd/σ(Sz1,…Szd).
关键词 Analytic hilbert space SPECTRUM Analytic extension
原文传递
A Quantitative Version of the Bishop–Phelps Theorem for Operators in Hilbert Spaces
14
作者 Li Xin CHENG Yun Bai DONG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第10期2107-2114,共8页
In this paper, with the help of spectral integral, we show a quantitative version of the Bishop-Phelps theorem for operators in complex Hilbert spaces. Precisely, let H be a complex Hilbert space and 0 〈 s 〈 1/2. Th... In this paper, with the help of spectral integral, we show a quantitative version of the Bishop-Phelps theorem for operators in complex Hilbert spaces. Precisely, let H be a complex Hilbert space and 0 〈 s 〈 1/2. Then for every bounded linear operator T : H → H and x0 ∈ H with ||T|| = 1 = ||xo|| such that ||Txo|| 〉 1-6, there exist xε ∈ H and a bounded linear operator S : H → H with ||S|| = 1 = ||xε|| such that ||Sxε||=1, ||x-ε0||≤√2ε+4√2ε, ||S-T||≤√2ε. 展开更多
关键词 Norm attaining operator hilbert space Bishop-Phelps theorem
原文传递
A Gradient Iteration Method for Functional Linear Regression in Reproducing Kernel Hilbert Spaces
15
作者 Hongzhi Tong Michael Ng 《Annals of Applied Mathematics》 2022年第3期280-295,共16页
We consider a gradient iteration algorithm for prediction of functional linear regression under the framework of reproducing kernel Hilbert spaces.In the algorithm,we use an early stopping technique,instead of the cla... We consider a gradient iteration algorithm for prediction of functional linear regression under the framework of reproducing kernel Hilbert spaces.In the algorithm,we use an early stopping technique,instead of the classical Tikhonov regularization,to prevent the iteration from an overfitting function.Under mild conditions,we obtain upper bounds,essentially matching the known minimax lower bounds,for excess prediction risk.An almost sure convergence is also established for the proposed algorithm. 展开更多
关键词 Gradient iteration algorithm functional linear regression reproducing kernel hilbert space early stopping convergence rates
原文传递
q–differ-integral operator on p–valent functions associated with operator on Hilbert space
16
作者 Shahram Najafzadeh 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2023年第3期458-466,共9页
Making use of multivalent functions with negative coefficients of the type f (z)=z^(p)-~(∑)_(k=p+1)^(∞)a_(k)z^(k),which are analytic in the open unit disk and applying the q-derivative a q–differintegral operator i... Making use of multivalent functions with negative coefficients of the type f (z)=z^(p)-~(∑)_(k=p+1)^(∞)a_(k)z^(k),which are analytic in the open unit disk and applying the q-derivative a q–differintegral operator is considered.Furthermore by using the familiar Riesz-Dunford integral,a linear operator on Hilbert space H is introduced.A new subclass of p-valent functions related to an operator on H is defined.Coefficient estimate,distortion bound and extreme points are obtained.The convolution-preserving property is also investigated. 展开更多
关键词 multivalent function fractional q–derivative operator fractional q–integral operator hilbert space coefficient estimate distortion bound extreme point convolution(or Hadamard product)
下载PDF
Differentially private SGD with random features
17
作者 WANG Yi-guang GUO Zheng-chu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2024年第1期1-23,共23页
In the realm of large-scale machine learning,it is crucial to explore methods for reducing computational complexity and memory demands while maintaining generalization performance.Additionally,since the collected data... In the realm of large-scale machine learning,it is crucial to explore methods for reducing computational complexity and memory demands while maintaining generalization performance.Additionally,since the collected data may contain some sensitive information,it is also of great significance to study privacy-preserving machine learning algorithms.This paper focuses on the performance of the differentially private stochastic gradient descent(SGD)algorithm based on random features.To begin,the algorithm maps the original data into a lowdimensional space,thereby avoiding the traditional kernel method for large-scale data storage requirement.Subsequently,the algorithm iteratively optimizes parameters using the stochastic gradient descent approach.Lastly,the output perturbation mechanism is employed to introduce random noise,ensuring algorithmic privacy.We prove that the proposed algorithm satisfies the differential privacy while achieving fast convergence rates under some mild conditions. 展开更多
关键词 learning theory differential privacy stochastic gradient descent random features reproducing kernel hilbert spaces
下载PDF
Convergence analysis for complementary-label learning with kernel ridge regression
18
作者 NIE Wei-lin WANG Cheng XIE Zhong-hua 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2024年第3期533-544,共12页
Complementary-label learning(CLL)aims at finding a classifier via samples with complementary labels.Such data is considered to contain less information than ordinary-label samples.The transition matrix between the tru... Complementary-label learning(CLL)aims at finding a classifier via samples with complementary labels.Such data is considered to contain less information than ordinary-label samples.The transition matrix between the true label and the complementary label,and some loss functions have been developed to handle this problem.In this paper,we show that CLL can be transformed into ordinary classification under some mild conditions,which indicates that the complementary labels can supply enough information in most cases.As an example,an extensive misclassification error analysis was performed for the Kernel Ridge Regression(KRR)method applied to multiple complementary-label learning(MCLL),which demonstrates its superior performance compared to existing approaches. 展开更多
关键词 multiple complementary-label learning partial label learning error analysis reproducing kernel hilbert spaces
下载PDF
UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS 被引量:1
19
作者 B.Yousefi 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期68-72,共5页
This article derives the relation between universal interpolating sequences and some spectral properties of the multiplication operator by the independent variable z in case the underlying space is a Hilbert space of ... This article derives the relation between universal interpolating sequences and some spectral properties of the multiplication operator by the independent variable z in case the underlying space is a Hilbert space of functions analytic on the open unit disk. 展开更多
关键词 hilbert spaces of analytic functions universal interpolating sequence multiplication operator invariant subspaces spectral properties
下载PDF
New construction of mutually unbiased bases for odd-dimensional state space
20
作者 王成红 王昆 郑驻军 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第8期180-184,共5页
We study the construction of mutually unbiased bases in Hilbert space for composite dimensions d which are not prime powers.We explore the results for composite dimensions which are true for prime power dimensions.We ... We study the construction of mutually unbiased bases in Hilbert space for composite dimensions d which are not prime powers.We explore the results for composite dimensions which are true for prime power dimensions.We then provide a method for selecting mutually unbiased vectors from the eigenvectors of generalized Pauli matrices to construct mutually unbiased bases.In particular,we present four mutually unbiased bases in C^(15). 展开更多
关键词 mutually unbiased bases hilbert space Pauli matrix quantum measurement
下载PDF
上一页 1 2 6 下一页 到第
使用帮助 返回顶部