Generalized notions of amenability

F. Ghahramani; R. J. Loy

doi:10.1016/S0022-1236(03)00214-3

Generalized notions of amenability

F. Ghahramani^*, R. J. Loy

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

140 Citations (Scopus)

Abstract

New notions of amenability and contractability are introduced. Examples are given to show that for most of the new notions, the corresponding class of Banach algebras is larger than that for the classical amenable algebras introduced by Johnson. General theory is developed for these notions, and studied for several concrete classes of Banach algebras; special consideration is given to Banach algebras defined on locally compact groups.

Original language	English
Pages (from-to)	229-260
Number of pages	32
Journal	Journal of Functional Analysis
Volume	208
Issue number	1
DOIs	https://doi.org/10.1016/S0022-1236(03)00214-3
Publication status	Published - 1 Mar 2004

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title = "Generalized notions of amenability",

abstract = "New notions of amenability and contractability are introduced. Examples are given to show that for most of the new notions, the corresponding class of Banach algebras is larger than that for the classical amenable algebras introduced by Johnson. General theory is developed for these notions, and studied for several concrete classes of Banach algebras; special consideration is given to Banach algebras defined on locally compact groups.",

keywords = "Amenability, Approximately inner, Derivation",

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AB - New notions of amenability and contractability are introduced. Examples are given to show that for most of the new notions, the corresponding class of Banach algebras is larger than that for the classical amenable algebras introduced by Johnson. General theory is developed for these notions, and studied for several concrete classes of Banach algebras; special consideration is given to Banach algebras defined on locally compact groups.

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KW - Approximately inner

KW - Derivation

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U2 - 10.1016/S0022-1236(03)00214-3

DO - 10.1016/S0022-1236(03)00214-3

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JO - Journal of Functional Analysis

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Generalized notions of amenability

Abstract

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