Multipliers of weighted spaces and reflexivity property

Author:

Dussau Xavier

Abstract

We prove for some translation-invariant weighted spaces E E the following characterization: T T is a multiplier of E E if and only if T T leaves invariant every translation-invariant subspace of E E . This result is equivalent with the reflexivity of the multiplier algebra of E E .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. The existence of translation invariant subspaces of symmetric self-adjoint sequence spaces on 𝑍;Atzmon, Aharon;J. Funct. Anal.,2000

2. Le problème du sous-espace invariant;Chalendar, Isabelle,2000

3. A survey of recent reflexivity results;Chevreau, B.,1992

4. Translation invariant subspaces of weighted 𝑙^{𝑝} and 𝐿^{𝑝} spaces;Domar, Yngve;Math. Scand.,1981

5. Les shifts à poids dissymétriques sont hyper-réflexifs;Dussau, Xavier;Bull. Soc. Math. France,2002

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