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.
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页码：171 / 178
页数：8
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