Character pseudo-amenability of Banach algebras

Rasoul Nasr-Isfahani, and Mehdi Nemati. "Character pseudo-amenability of Banach algebras." Colloquium Mathematicae 132.2 (2013): 177-193. <http://eudml.org/doc/284305>.

@article{RasoulNasr2013,
abstract = {Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We introduce and study a new notion of amenability for 𝓐 based on existence of a ϕ-approximate diagonal by modifying the concepts of ϕ-amenability and pseudo-amenability. We then apply these results to characterize ϕ-pseudo-amenability of various Banach algebras related to locally compact groups such as group algebras, measure algebras, certain dual algebras and Lebesgue-Fourier algebras.},
author = {Rasoul Nasr-Isfahani, Mehdi Nemati},
journal = {Colloquium Mathematicae},
keywords = {Banach algebra; character pseudo-amenability; group algebra; mean; locally compact group; Lebesgue-Fourier algebra},
language = {eng},
number = {2},
pages = {177-193},
title = {Character pseudo-amenability of Banach algebras},
url = {http://eudml.org/doc/284305},
volume = {132},
year = {2013},
}

TY - JOUR
AU - Rasoul Nasr-Isfahani
AU - Mehdi Nemati
TI - Character pseudo-amenability of Banach algebras
JO - Colloquium Mathematicae
PY - 2013
VL - 132
IS - 2
SP - 177
EP - 193
AB - Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We introduce and study a new notion of amenability for 𝓐 based on existence of a ϕ-approximate diagonal by modifying the concepts of ϕ-amenability and pseudo-amenability. We then apply these results to characterize ϕ-pseudo-amenability of various Banach algebras related to locally compact groups such as group algebras, measure algebras, certain dual algebras and Lebesgue-Fourier algebras.
LA - eng
KW - Banach algebra; character pseudo-amenability; group algebra; mean; locally compact group; Lebesgue-Fourier algebra
UR - http://eudml.org/doc/284305
ER -