The Fixed Point Property of Unital Abelian Banach Algebras

被引：0
|
作者：
W Fupinwong
S Dhompongsa
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Nonexpansive Mapping; Pairwise Disjoint; Banach Algebra; Convergent Subsequence; Point Property;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a general condition for infinite dimensional unital Abelian Banach algebras to fail the fixed point property. Examples of those algebras are given including the algebras of continuous functions on compact sets.
引用
收藏
相关论文
共 50 条
  • [31] NEARLY INVOLUTIONS ON BANACH ALGEBRAS. A FIXED POINT APPROACH
    Gordji, Madjid Eshaghi
    FIXED POINT THEORY, 2013, 14 (01): : 117 - 123
  • [32] VECTORIAL POWERS OF VECTORS IN UNITAL COMPLEX BANACH ALGEBRAS
    Hemdaoui, M.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2006, 55 (01) : 140 - 146
  • [33] On Quasi-Chebyshevity Subsets of Unital Banach Algebras
    M.Iranmanesh
    F.Soleimany
    Analysis in Theory and Applications, 2018, 34 (01) : 92 - 102
  • [34] Common fixed point properties and amenability of a class of Banach algebras
    Desaulniers, Shawn
    Nasr-Isfahani, Rasoul
    Nemati, Mehdi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (02) : 536 - 544
  • [35] Fixed point theory in a new class of banach algebras and application
    Amar A.B.
    Chouayekh S.
    Jeribi A.
    Afrika Matematika, 2013, 24 (4) : 705 - 724
  • [36] Normal structure and fixed point properties for some Banach algebras
    Dehici, Abdelkader
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 22 (01)
  • [37] New fixed point theorems in midconvex subgroups of abelian Banach groups
    Pourmoslemi, Alireza
    Adib, Marjan
    Nazari, Tahere
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 3169 - 3180
  • [38] SEPARABLE C*-ALGEBRAS AND WEAK* FIXED POINT PROPERTY
    Fendler, Gero
    Leinert, Michael
    PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2013, 33 (02): : 233 - 241
  • [39] Property (T) and strong property (T) for unital C*-algebras
    Leung, Chi-Wai
    Ng, Chi-Keung
    JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (09) : 3055 - 3070
  • [40] Fixed point and common fixed point theorems on ordered cone metric spaces over Banach algebras
    Yan, Qi
    Yin, Jiandong
    Wang, Tao
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1581 - 1589
12345