One the weak amenability of A (X) and its relation with the approximation property

A. Blanco

doi:10.1016/S0022-1236(02)00050-2

One the weak amenability of A (X) and its relation with the approximation property

A. Blanco^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

We investigate the weak amenability of the algebra A(X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A(X).

Original language	English
Pages (from-to)	1-26
Number of pages	26
Journal	Journal of Functional Analysis
Volume	203
Issue number	1
DOIs	https://doi.org/10.1016/S0022-1236(02)00050-2
Publication status	Published - 10 Sept 2003

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title = "One the weak amenability of A (X) and its relation with the approximation property",

abstract = "We investigate the weak amenability of the algebra A(X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A(X).",

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author = "A. Blanco",

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AB - We investigate the weak amenability of the algebra A(X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A(X).

KW - Approximable operator

KW - Approximation property

KW - Banach algebra

KW - Weak amenability

UR - https://www.scopus.com/pages/publications/0042762622

U2 - 10.1016/S0022-1236(02)00050-2

DO - 10.1016/S0022-1236(02)00050-2

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VL - 203

SP - 1

EP - 26

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

One the weak amenability of A (X) and its relation with the approximation property

Abstract

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