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

A. 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 -