Fixed point property of Hilbert modules over finite dimensional C$$^*$$-algebras

2019 ◽  
Vol 21 (3) ◽  
Author(s):  
Mehrdad Golabi ◽  
Kourosh Nourouzi
Keyword(s):  
Fixed Point ◽  
Fixed Point Property ◽  
Point Property ◽  
Hilbert Modules ◽  
C Algebras ◽  
Finite Dimensional

scholarly journals A 3-space problem related to the fixed point property

2001 ◽  
Vol 64 (1) ◽  
pp. 51-61 ◽  
Author(s):  
Helga Fetter ◽  
Berta Gamboa de Buen
Keyword(s):  
Fixed Point ◽  
Dimensional Space ◽  
Normal Structure ◽  
Fixed Point Property ◽  
Finite Dimensional Space ◽  
Point Property ◽  
Space Problem ◽  
Opial’S Condition ◽  
Direct Sum ◽  
Finite Dimensional

We study some properties which imply weak normal structure and thus the fixed point property. We investigate whether the latter two properties are inherited by spaces obtained by direct sum with a finite dimensional space. We exhibit a space X which satisfies Opial's condition, X ⊕ ℝ does not have weak normal structure but X ⊕ ℝ has the fixed point property.

scholarly journals Brush spaces and the fixed point property

2011 ◽  
Vol 158 (8) ◽  
pp. 1085-1089 ◽  
Author(s):  
M.M. Marsh ◽  
J.R. Prajs
Keyword(s):  
Fixed Point ◽  
Fixed Point Property ◽  
Point Property

scholarly journals Towards the fixed point property for superreflexive spaces

2001 ◽  
Vol 64 (3) ◽  
pp. 435-444 ◽  
Author(s):  
Andrzej Wiśnicki
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Unit Sphere ◽  
Convex Set ◽  
Nonexpansive Mappings ◽  
Fixed Point Property ◽  
Point Property ◽  
Geometrical Condition

A Banach space X is said to have property (Sm) if every metrically convex set A ⊂ X which lies on the unit sphere and has diameter not greater than one can be (weakly) separated from zero by a functional. We show that this geometrical condition is closely connected with the fixed point property for nonexpansive mappings in superreflexive spaces.

scholarly journals A product space with the fixed point property

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Helga Fetter Nathansky ◽  
Enrique Llorens-Fuster
Keyword(s):  
Fixed Point ◽  
Product Space ◽  
Fixed Point Property ◽  
Point Property

Order Extensions and the Fixed Point Property

Order ◽  
2008 ◽  
Vol 25 (3) ◽  
pp. 267-279
Author(s):  
Imed Zaguia
Keyword(s):  
Fixed Point ◽  
Fixed Point Property ◽  
Point Property
Sign in / Sign up

Export Citation Format

Share Document