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- Title
FIXED POINT PROPERTY OF FULL HILBERT C*-MODULES OVER UNITAL C*-ALGEBRAS.
- Authors
JAHANGIR, FARHANG; NOUROUZI, KOUROSH
- Abstract
We show that full Hilbert C*-modules over a commutative unital C*-algebra A have fixed point property for nonexpansive mappings if and only if A is finite dimensional. We also show that the 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 is given via fixed point property for nonexpansive mappings.
- Subjects
NONEXPANSIVE mappings; C*-algebras; NONCOMMUTATIVE algebras; HILBERT space
- Publication
Fixed Point Theory, 2024, Vol 25, Issue 1, p171
- ISSN
1583-5022
- Publication type
Article
- DOI
10.24193/fpt-ro.2024.1.11