FIXED POINT PROPERTY OF FULL HILBERTC∗-MODULES OVER UNITAL C∗-ALGEBRAS

被引：0
|
作者：
Jahangir, Farhang [1 ]
Nourouzi, Kourosh [1 ]
机构：
[1] KN Toosi Univ Technol, Fac Math, Tehran, Iran
来源：
FIXED POINT THEORY | 2024年 / 25卷 / 01期
关键词：
Fixed point; nonexpansive mapping; Hilbert C*-module; continuousfield of Hilbert spaces; unit vector; VECTORS;
D O I：
10.24193/fpt-ro.2025.1.11
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that full Hilbert C*-modules over a commutative unital C*-algebraAhave fixedpoint property for nonexpansive mappings if and only ifAis finite dimensional. We also show thatthe same is true for every Hilbert C*-module with unit vectors over an arbitrary unital C*-algebra.In particular, a classification of full Hilbert C*-modules with unit vectors over unital C*-algebras isgiven via fixed point property for nonexpansive mappings.
引用
收藏
页码：171 / 178
页数：8
相关论文
共 50 条
  • [31] A FIXED POINT THEOREM IN HILBERT C*-MODULES
    Ranjbar, Hasan
    Niknam, Asadollah
    [J]. KOREAN JOURNAL OF MATHEMATICS, 2022, 30 (02): : 297 - 304
  • [32] Clifford algebras over Hilbert C*-modules
    Gao, Mingchu
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2007, 33 (04): : 1183 - 1214
  • [33] Tracial Cyclic Rokhlin Property for Automorphisms of Non-unital Simple C*-algebras
    Jamali, Saeid
    [J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2024, 19 (01): : 51 - 62
  • [34] Point modules over regular graded skew Clifford algebras
    Vancliff, Michaela
    Veerapen, Padmini P.
    [J]. JOURNAL OF ALGEBRA, 2014, 420 : 54 - 64
  • [35] Co-Point Modules Over Frobenius Koszul Algebras
    Mori, Izuru
    [J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (12) : 4659 - 4677
  • [36] A characterization of Hilbert C*-modules over commutative C*-algebras
    Akrami, Rasoul
    Janfada, Ali Reza
    Miri, Mohammad Reza
    [J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2018, 11 (04): : 557 - 561
  • [37] Inclusions of C'-algebras arising from fixed-point algebras
    Echterhoff, Siegfried
    Rordam, Mikael
    [J]. GROUPS GEOMETRY AND DYNAMICS, 2024, 18 (01) : 127 - 145
  • [38] The fixed point property in c0
    Llorens-Fuster, E
    Sims, B
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1998, 41 (04): : 413 - 422
  • [39] On Frames in Hilbert Modules Over Locally C*-Algebras
    El Jazzar, Roumaissae
    Mohamed, Rossafi
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
  • [40] Cylinders over λ-dendroids have the fixed point property
    Manka, R
    [J]. FUNDAMENTA MATHEMATICAE, 2002, 173 (02) : 101 - 112
12345