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Banach空间中的广义Schauder基和广义A-proper映射的广义拓扑度 被引量：2

GENERALIZED SCHAUDER BASES AND THE GENERALIZED TOPOLOGICAL DEGREEFOR GENERALIZED A-PROPER MAPPINGS IN BANACH SPACES
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摘要 本文给出Banach空间中广义Schauder基的新概念及其几个性质定理,举出了具有广义Schauder基的不可分Banach空间实例。作为广义Schauder基的应用,还推广了A-proper映射的广义拓扑度和一些著名的不动点定理。 The new concept of Schauder basis in Banach spaces with some property theorems are given in the present paper. As an application, the generalized topological degree theory for generalized A-proper mappings and some famous fixed point theorems can be extended.
作者 王元恒 沈自飞
机构地区 浙江师范大学数学系
出处 《数学年刊（A辑）》 CSCD 北大核心 2003年第5期531-540,共10页 Chinese Annals of Mathematics
基金 浙江省重点学科建设基金 浙江省教育厅科教基金(No.20020868)
关键词 SCHAUDER基 不可分集 序集 A-PROPER映射 拓扑度 不动点 Schauder basis, Nonseparable, Ordered set, A-proper mapping, Topological degree, Fixed point
分类号 O177.2 [理学—基础数学]
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参考文献14

  • 1Banach, S, Theorie des operations lineaires [M], 1932.
  • 2Enflo, P, A counterexample to the approximation property in Banach space [J], Acta Math, 130(1973), 309-317.
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同被引文献11

  • 1Petryshyn,W.V.On a Approximation Solvability of Equations Involving A-Proper and Pseudo-A-Proper Mappings[].Bulletin of the American Mathematical Society.1975
  • 2Petryshyn,W.V.On a Fixed Point Theorem for Nonlinear P-Compact Operators in Banach Spaces[].Bull AmerMathSoe.1966
  • 3Petryshyn,W.V.On Nonlinear P-Compact Operators in Banach Spaces with Approximations to Constructive Fixed Point Theorems[].Journal of Mathematical Analysis and Applications.1966
  • 4Zeidler,E.Nonlinear Functional Analysis and its Applications[]..1986
  • 5Granas,A,Dugundji,J.Fixed Point Theory[]..2003
  • 6Browder F E,Petryshyn W V.Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces[].Journal of Functional Analysis.1969
  • 7W. V. Petryshyn&#x00.Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations[].Journal of Differential Equations.1978
  • 8WANG Yuanheng SHEN ZifeiDepartment of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang,China.GENERALIZED SCHAUDER BASES AND THE GENERALIZED TOPOLOGICAL DEGREEFOR GENERALIZED A-PROPER MAPPINGS IN BANACH SPACES[].Chinese Annals of Mathematicsseries A.2003
  • 9Deimling K.Nonlinear Functional Analysis[]..1985
  • 10Guo D,Lakshmikantham V.Nonlinear Problems in Abstract Cones[]..1988

引证文献2

数学年刊（A辑）
2003年 第5期

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