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AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVEψ-FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS
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作者 Safoura Rezaei ADERYANI Azam AHADI +1 位作者 Reza SAADATI Hari M.SRIVASTAVA 《Acta Mathematica Scientia》 SCIE CSCD 2024年第1期311-338,共28页
In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better... In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem. 展开更多
关键词 permuting tri-homomorphism in banach algebra permuting tri-derivation on C*-algebra fixed point theorem Ulam-Hyers-Rassias stability aggregate special functions tri-additiveψ-functional inequality
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BANACH ALGEBRA STRUCTURE IN DERIVATIVE HARDY SPACES
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作者 ZHANG Zhao-de LIU Jun-ming 《数学杂志》 2024年第6期485-493,共9页
In this paper,we consider the algebraic structure of derivative Hardy Spaces.By using the method of[6,12,15],we get the Duhamel product forming Banach algebra in derivative Hardy Spaces,and invertibility criterion,and... In this paper,we consider the algebraic structure of derivative Hardy Spaces.By using the method of[6,12,15],we get the Duhamel product forming Banach algebra in derivative Hardy Spaces,and invertibility criterion,and describe the extended eigenvalue of the integral operator V.We generalize the results in[1,2,6,11,16]. 展开更多
关键词 Duhamel product banach algebra extended eigenvalue
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Determinant Theory in Banach Algebras
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作者 许天周 《Journal of Beijing Institute of Technology》 EI CAS 1997年第1期19-24,共6页
A determinant theory is developed for Banach algebras and a characterization of those traced unital Banach algebras admitting a determinant is given.
关键词 TRACE winding number DETERMINANT K-theory group banach algebra
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Invariant Determinants in Banach Algebras
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作者 许天周 《Journal of Beijing Institute of Technology》 EI CAS 1997年第1期25-29,共5页
The invariant determinants ha Banach algebras are discussed and a necessary and sufficient condition for those integral traced unital Barach algebra(A,τ) admitting a G-invari- ant determinant is obtained,where G is a... The invariant determinants ha Banach algebras are discussed and a necessary and sufficient condition for those integral traced unital Barach algebra(A,τ) admitting a G-invari- ant determinant is obtained,where G is a group of trace preserving automorphisms of A. 展开更多
关键词 TRACE invariant determinant K-theory group banach algebra
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FIXED POINTS AND STABILITY FOR QUARTIC MAPPINGS IN β-NORMED LEFT BANACH MODULES ON BANACH ALGEBRAS 被引量:2
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作者 H.Azadi KENARY A.R.ZOHDI M.Eshaghi GORDJI 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1113-1118,共6页
The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equationin β-Banach modules on Banach algebras. The concept of ... The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equationin β-Banach modules on Banach algebras. The concept of Ulam-Hyers-Rassias stability (briefly, HUR-stability) originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. 展开更多
关键词 generalized Hyers-Ulam stability quartic functional equation banach mod-ule unital banach algebra generalized metric space fixed point method
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APPROXIMATION OF ADJOINT OF A MULTIPLIER ON BANACH ALGEBRAS 被引量:1
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作者 A.Ghaffari S.Javadi H.Khodaei 《Acta Mathematica Scientia》 SCIE CSCD 2012年第2期783-792,共10页
For a Banach algebra A, we denote by .A* and .A** the first and the second duals of A respectively. Let T be a mapping from .A* to itself. In this article, we will investigate some stability results concerning the... For a Banach algebra A, we denote by .A* and .A** the first and the second duals of A respectively. Let T be a mapping from .A* to itself. In this article, we will investigate some stability results concerning the equations T(αf + βg) -= αT(f) + βT(g), T(af) = aT(f) andT(αf +βg) + T(αf - βg) =- 2α2T(f) + 2β2T(g) where f, g e .A*, a ∈ A, and α,β ∈ Q / {0}. 展开更多
关键词 Additive and quadratic mappings Arens products banach algebra multi-plier STABILITY
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Common Fixed Point Theorems in Non-normal Cone Metric Spaces with Banach Algebras 被引量:2
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作者 HUANG Hua-ping XU Shao-yuan +1 位作者 LIU Qiu-hua MING Wei 《Chinese Quarterly Journal of Mathematics》 2016年第2期155-161,共7页
In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generaliz... In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generalize some results in the literature. Moreover,we give an example to support the main assertions. 展开更多
关键词 cone metric space with banach algebra generalized Lispchitz constant weakly compatible
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New Fixed Point Results of Generalized g-Quasi-Contractions in Cone b-Metric Spaces Over Banach Algebras 被引量:1
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作者 Shaoyuan Xu Suyu Cheng +1 位作者 Suzana Aleksic Yongjie Piao 《Analysis in Theory and Applications》 CSCD 2017年第2期118-133,共16页
In this paper, we introduce the concept of generalized g-quasi-contractions in the setting of cone b-metric spaces over Banach algebras. By omitting the assump- tion of normality we establish common fixed point theore... In this paper, we introduce the concept of generalized g-quasi-contractions in the setting of cone b-metric spaces over Banach algebras. By omitting the assump- tion of normality we establish common fixed point theorems for the generalized g- quasi-contractions with the spectral radius r(λ) of the g-quasi-contractive constant vector λ satisfying r(λ) ∈[0,1) in the setting of cone b-metric spaces over Banach al- gebras, where the coefficient s satisfies s ≥ 1. The main results generalize, extend and unify several well-known comparable results in the literature. 展开更多
关键词 Cone b-metric spaces over banach algebras non-normal cones c-sequences general-ized g-quasi-contractions fixed point theorems.
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THE BANACH ALGEBRAS GENERATED BY OPERATORS WITH ONE-POINT SPECTRUM
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作者 H. Seferoglu N. Simsek 《Acta Mathematica Scientia》 SCIE CSCD 2011年第2期673-680,共8页
In this article, we present some results related to the structure of Banach algebras generated by operators with one-point spectrum.
关键词 Representation group SPECTRUM banach algebra group algebra
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A HYBRID FIXED POINT RESULT FOR LIPSCHITZ HOMOMORPHISMS ON QUASI-BANACH ALGEBRAS
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作者 Sh. Rezapour M. Derafshpour 《Analysis in Theory and Applications》 2011年第2期109-116,共8页
We shall generalize the results of [9] about characterization of isomorphisms on quasi-Banach algebras by providing integral type conditions. Also, we shall give some new results in this way and finally, give a result... We shall generalize the results of [9] about characterization of isomorphisms on quasi-Banach algebras by providing integral type conditions. Also, we shall give some new results in this way and finally, give a result about hybrid fixed point of two homomorphisms on quasi-Banach algebras. 展开更多
关键词 HOMOMORPHISM hybrid fixed point integral-type condition p-norm quasi- banach algebra
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Some Random Coincidence Point and Common Fixed Point Results in Cone Metric Spaces Over Banach Algebras
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作者 JIANG Bing-hua CAI Ze-lin CHEN Jin-yang 《Chinese Quarterly Journal of Mathematics》 2019年第4期362-381,共20页
In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assump... In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assumption of normality of cones.The presented results generalize some coupled common fixed point theorems in the existing literature. 展开更多
关键词 Tripled random fixed point Tripled random coincidence point Cone metric space over banach algebra Generalized Lipschitz constant Tripled common random fixed point
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Polynomial Spectrum of a Finite Sequencein a Banach Algebra
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作者 YANG Chong 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期275-279,共5页
In this paper,we discuss that the polynomial spectrum,relative spectrum and Spectrum of a Pair of Elements are all compact,so their resolvent sets are all open.
关键词 SPECTRUM banach algebra COMPACT
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Decomposable Multipliers on a Banach Algebra
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作者 李杨荣 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第4期67-72, ,共6页
The author show that if A is a complex abelian Banach algebra with an identity, then the decomposability of T∈M(A),the set of all multipliers on A, implies that the corresponding multiplication operator T: M (A)→M (... The author show that if A is a complex abelian Banach algebra with an identity, then the decomposability of T∈M(A),the set of all multipliers on A, implies that the corresponding multiplication operator T: M (A)→M (A) is decompcoable, moreover, in the Hilbert algebras case the assumation that A is abelian and A has an identity can be released. Those results are partially answers to a question raised by K. B. Laursen and M. M. Neumann [5]. 展开更多
关键词 decomposable operators banach algebra MULTIPLIERS
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Generalized Domination in Ordered Banach Algebras
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作者 Kelvin Muzundu 《Journal of Mathematics and System Science》 2013年第7期335-341,共7页
The following problem in an OBA (ordered Banach algebra) has been studied by various authors: If a and b are positiveelements in an OBA such that 0 ≤ α ≤ b and ifb has a certain property, under what conditions d... The following problem in an OBA (ordered Banach algebra) has been studied by various authors: If a and b are positiveelements in an OBA such that 0 ≤ α ≤ b and ifb has a certain property, under what conditions does a inherit that property? This will be referred to as the domination problem. In this paper we will introduce absolute value |.| in an OBA and obtain results for the domination problem under the more general inequality |α| ≤|b|. We will show that these results are applicable to positive operators on a Banach lattice. Furthermore, it will be demonstrated that some known results for the domination problem in OBAs continue to hold true if 0 ≤ α≤ b is replaced by |a|≤|b|. 展开更多
关键词 Ordered banach algebra positive element SPECTRUM
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Some additive results for the generalized Drazin inverse in a Banach algebra 被引量:4
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作者 Guo Li Chen Jianlong Zou Honglin 《Journal of Southeast University(English Edition)》 EI CAS 2017年第3期382-386,共5页
Let a, b be two generalized Drazin invertible elements in a Banach algebra. An explicit expression for the generalized Drazin inverse of the sum a + b in terms of a,b,a^d,b^d is given. The generalized Drazin inverse f... Let a, b be two generalized Drazin invertible elements in a Banach algebra. An explicit expression for the generalized Drazin inverse of the sum a + b in terms of a,b,a^d,b^d is given. The generalized Drazin inverse for the sum of two elements in a Banach algebra is studied by means of the system of idempotents. It is first proved that a + b∈A^(qnil) under the condition that a,b∈A^(qnil),aba = 0 and ab^2= 0 and then the explicit expressions for the generalized Drazin inverse of the sum a + b under some newconditions are given. Also, some known results are extended. 展开更多
关键词 generalized DRAZIN inverse banach algebra NILPOTENT ELEMENT quasi-nilpotent ELEMENT
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ISOMETRIC ISOMORPHISMS OF TRIANGULAR BANACH ALGEBRAS
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作者 LuoJianwen LuFangyan 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第4期403-408,共6页
Let A and B be Banach algebras.Let M be a Banach A,B module with bounded 1.Then T=AM 0B is a Banach algebra with the usual operations and the norm AM 0B=‖A‖+‖M‖+‖B‖.Such an algebra is called a triangular Bana... Let A and B be Banach algebras.Let M be a Banach A,B module with bounded 1.Then T=AM 0B is a Banach algebra with the usual operations and the norm AM 0B=‖A‖+‖M‖+‖B‖.Such an algebra is called a triangular Banach algebra.In this paper the isometric isomorphisms of triangular Banach algebras are characterized. 展开更多
关键词 Triangualr banach algebras isometric isomorphisms.
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An Improvement in Ordered Cone b-metric Spaces Over Banach Algebras
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作者 HAN Yan XU Shao-yuan DONG Yan-shou 《Chinese Quarterly Journal of Mathematics》 2019年第1期43-51,共9页
The purpose of this paper is to improve some famous theorems for contractive mapping from ρ(α + β) ∈ [0,1/s) to ρ(α + β) ∈ [0, 1) in ordered cone b-metric spaces over Banach algebras with coefficient s ≥ 1(ρ... The purpose of this paper is to improve some famous theorems for contractive mapping from ρ(α + β) ∈ [0,1/s) to ρ(α + β) ∈ [0, 1) in ordered cone b-metric spaces over Banach algebras with coefficient s ≥ 1(ρ(x) is the spectral radius of the generalized Lipschitz constant x). Moreover, some similar improvements in ordered cone b-metric spaces are also obtained, which from α + β∈ [0,1/s) to α + β∈ [0, 1). Some examples are given to support that our new results are genuine improvements and generalizations. 展开更多
关键词 CONE b-metric spaces OVER banach algebraS c-distance generalized LIPSCHITZ MAPPINGS fixed point
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Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra
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作者 Hind H. G. Hashem Aml A. Alhejelan 《Applied Mathematics》 2017年第6期846-856,共11页
In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and functional equations that are considered in nonlinear anal... In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and functional equations that are considered in nonlinear analysis. Our considerations will be discussed in Banach algebra using a fixed point theorem instead of using the technique of measure of noncompactness. An important special case of that functional equation is Chandrasekhar’s integral equation which appears in radiative transfer, neutron transport and the kinetic theory of gases [1]. 展开更多
关键词 Nonlinear OPERATORS banach algebra Chandrasekhar’s INTEGRAL Equations
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A Characterization of Jacobson Radical in Γ-Banach Algebras
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作者 Nilakshi Goswami 《Advances in Pure Mathematics》 2012年第6期413-418,共6页
Let V1 and V2 be two -Banach algebras and Ri be the right operator Banach algebra and Li be the left operator Banach algebra of Vi(i=1,2). We give a characterization of the Jacobson radical for the projective tensor p... Let V1 and V2 be two -Banach algebras and Ri be the right operator Banach algebra and Li be the left operator Banach algebra of Vi(i=1,2). We give a characterization of the Jacobson radical for the projective tensor product V1rV2 in terms of the Jacobson radical for R1rL2. If V1 and V2 are isomorphic, then we show that this characterization can also be given in terms of the Jacobson radical for R2rL1. 展开更多
关键词 Γ-algebra RIGHT Quasi REGULARITY TENSOR Product OPERATOR banach algebra
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Generalized Drazin spectrum of upper triangular matrices in Banach algebras
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作者 Yongfeng PANG Dong MA Danli ZHANG 《Frontiers of Mathematics in China》 CSCD 2023年第6期431-440,共10页
Let A be a Banach algebra with unit e and a,b,c∈A,Mc=(a c 0 b)∈M_(2)(A).The concepts of left and right generalized Drazin invertible of elements in a Banach algebra are proposed.A generalized Drazin spectrum of is d... Let A be a Banach algebra with unit e and a,b,c∈A,Mc=(a c 0 b)∈M_(2)(A).The concepts of left and right generalized Drazin invertible of elements in a Banach algebra are proposed.A generalized Drazin spectrum of is defined byσ_(gD)(α)={λ∈C:α-λe is not generalized Drazin invertible}.It is shown thatσ_(gD)(a)∪σ_(gD)(b)=σ_(gD)(M_(C))∪W_(2),where W_(g) is a union of certain holes σ_(gD) and W_(g)■σ_(gD)(a)∩σ_(gD)(b),or more finely.In addition,some properties of generalized Drazin spectrum of elements in a Banach algebra are studied. 展开更多
关键词 banach algebra generalized Drazin inverse generalized Drazin spectrum UPPER triangular matrices
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