Approximate amenability for Banach sequence algebras

H. G. Dales; R. J. Loy; Y. Zhang

doi:10.4064/sm177-1-6

Approximate amenability for Banach sequence algebras

H. G. Dales^*, R. J. Loy, Y. Zhang

^*Corresponding author for this work

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

41 Citations (Scopus)

Abstract

We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where A = ℓ^p for 1 < p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras ℓ^p(ω).

Original language	English
Pages (from-to)	81-96
Number of pages	16
Journal	Studia Mathematica
Volume	177
Issue number	1
DOIs	https://doi.org/10.4064/sm177-1-6
Publication status	Published - 2006

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title = "Approximate amenability for Banach sequence algebras",

abstract = "We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where A = ℓp for 1 < p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras ℓp(ω).",

keywords = "Amenability, Approximate amenability, Approximately inner, Banach sequence algebra",

author = "Dales, \{H. G.\} and Loy, \{R. J.\} and Y. Zhang",

year = "2006",

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journal = "Studia Mathematica",

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AU - Dales, H. G.

AU - Loy, R. J.

AU - Zhang, Y.

PY - 2006

Y1 - 2006

N2 - We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where A = ℓp for 1 < p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras ℓp(ω).

AB - We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where A = ℓp for 1 < p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras ℓp(ω).

KW - Amenability

KW - Approximate amenability

KW - Approximately inner

KW - Banach sequence algebra

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U2 - 10.4064/sm177-1-6

DO - 10.4064/sm177-1-6

M3 - Article

SN - 0039-3223

VL - 177

SP - 81

EP - 96

JO - Studia Mathematica

JF - Studia Mathematica

IS - 1

ER -

Approximate amenability for Banach sequence algebras

Abstract

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