Open Access
2014 Amenability and Contractibility Modulo an Ideal of Banach Algebras
Hamidreza Rahimi, Elham Tahmasebi
Abstr. Appl. Anal. 2014: 1-5 (2014). DOI: 10.1155/2014/514761


We investigate the concept of amenability modulo an ideal of Banach algebra, showing that amenability modulo an ideal can be characterized by the existence of virtual and approximate diagonal modulo an ideal. We also study the concept of contractible modulo an ideal of Banach algebra. As a consequence, we prove a version of Selivanov's theorem for a large class of semigroups, including E-inversive E-semigroup and eventually inverse semigroups.


Download Citation

Hamidreza Rahimi. Elham Tahmasebi. "Amenability and Contractibility Modulo an Ideal of Banach Algebras." Abstr. Appl. Anal. 2014 1 - 5, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 1354.43002
MathSciNet: MR3232845
Digital Object Identifier: 10.1155/2014/514761

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top