# 1-amenability of 𝒜(X) for Banach spaces with 1-unconditional bases

Studia Mathematica (2012)

- Volume: 213, Issue: 2, page 97-131
- ISSN: 0039-3223

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topA. Blanco. "1-amenability of 𝒜(X) for Banach spaces with 1-unconditional bases." Studia Mathematica 213.2 (2012): 97-131. <http://eudml.org/doc/285403>.

@article{A2012,

abstract = {The main result of the note is a characterization of 1-amenability of Banach algebras of approximable operators for a class of Banach spaces with 1-unconditional bases in terms of a new basis property. It is also shown that amenability and symmetric amenability are equivalent concepts for Banach algebras of approximable operators, and that a type of Banach space that was long suspected to lack property 𝔸 has in fact the property. Some further ideas on the problem of whether or not amenability (in this setting) implies property 𝔸 are discussed.},

author = {A. Blanco},

journal = {Studia Mathematica},

keywords = {amenable Banach algebra; Banach algebra of approximable operators},

language = {eng},

number = {2},

pages = {97-131},

title = {1-amenability of 𝒜(X) for Banach spaces with 1-unconditional bases},

url = {http://eudml.org/doc/285403},

volume = {213},

year = {2012},

}

TY - JOUR

AU - A. Blanco

TI - 1-amenability of 𝒜(X) for Banach spaces with 1-unconditional bases

JO - Studia Mathematica

PY - 2012

VL - 213

IS - 2

SP - 97

EP - 131

AB - The main result of the note is a characterization of 1-amenability of Banach algebras of approximable operators for a class of Banach spaces with 1-unconditional bases in terms of a new basis property. It is also shown that amenability and symmetric amenability are equivalent concepts for Banach algebras of approximable operators, and that a type of Banach space that was long suspected to lack property 𝔸 has in fact the property. Some further ideas on the problem of whether or not amenability (in this setting) implies property 𝔸 are discussed.

LA - eng

KW - amenable Banach algebra; Banach algebra of approximable operators

UR - http://eudml.org/doc/285403

ER -

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