Generalizing the concept of inner amenability for Lau algebras, we define and study the notion of φ-inner amenability of any Banach algebra A, where φ is a homomorphism from A onto ℂ. Several characterizations of φ-inner amenable Banach algebras are given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-1-1,
author = {A. Jabbari and T. Mehdi Abad and M. Zaman Abadi},
title = {On $\phi$-inner amenable Banach algebras},
journal = {Colloquium Mathematicae},
volume = {122},
year = {2011},
pages = {1-10},
zbl = {1229.43003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-1-1}
}
A. Jabbari; T. Mehdi Abad; M. Zaman Abadi. On φ-inner amenable Banach algebras. Colloquium Mathematicae, Tome 122 (2011) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-1-1/