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2012 | 213 | 2 | 97-131
Tytu艂 artyku艂u

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

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Tre艣膰 / Zawarto艣膰
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J臋zyki publikacji
EN
Abstrakty
EN
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 饾敻 has in fact the property. Some further ideas on the problem of whether or not amenability (in this setting) implies property 饾敻 are discussed.
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Tw贸rcy
autor
  • Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, UK
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-2-1
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