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On the weak amenability of ℬ(X)

100%

Blanco A.

Studia Mathematica

2010

tom 196

nr 1

65-89

We investigate the weak amenability of the Banach algebra ℬ(X) of all bounded linear operators on a Banach space X. Sufficient conditions are given for weak amenability of this and other Banach operator algebras with bounded one-sided approximate identities.

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

100%

Blanco A.

Studia Mathematica

2012

tom 213

nr 2

97-131

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.

Ograniczanie wyników

2 Studia Mathematica

2 Blanco A.

1 2012

1 2010

Wyniki wyszukiwania

On the weak amenability of ℬ(X)

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