GROWTH CONDITIONS AND INVERSE PRODUCING EXTENSIONS

Badea, Catalin; Müller, Vladimir

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

GROWTH CONDITIONS AND INVERSE PRODUCING EXTENSIONS

Author(s) :

Badea, Catalin [Auteur]

Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Müller, Vladimir [Auteur]

Journal title :

J. Operator Th.

Pages :

415-439

Publication date :

2005

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

We study the invertibility of Banach algebras elements in their extensions, and invertible extensions of Banach and Hilbert space operators with prescribed growth conditions for the norm of inverses. As applications, the ...
Show more >We study the invertibility of Banach algebras elements in their extensions, and invertible extensions of Banach and Hilbert space operators with prescribed growth conditions for the norm of inverses. As applications, the solutions of two open problems are obtained. In the first one we give a characterization of E(T)-subscalar operators in terms of growth conditions. In the second one we show that operators satisfying a Beurling-type growth condition possess Bishop's property (β). Other applications are also given.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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