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.
Original language | English |
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Pages (from-to) | 97-131 |
Number of pages | 35 |
Journal | Studia Mathematica |
Volume | 213 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2012 |
ASJC Scopus subject areas
- Mathematics(all)