Multipliers of weighted spaces and reflexivity property

DOI10.1090/S0002-9939-04-07640-3zbMath1066.47031OpenAlexW2077855685MaRDI QIDQ4654053

Xavier Dussau

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07640-3

zbMATH Keywords

reflexivitymultiplierdissymmetric weighttranslation invariant subspace

Mathematics Subject Classification ID

Modular representations and characters (20C20) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

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• Singular inner functions and biinvariant subspaces for dissymmetric weighted shifts
• Shifts with weights of polynomial growth are hyper-reflexive
• The existence of translation invariant subspaces of symmetric self-adjoint sequence spaces on \(\mathbb{Z}\)
• Invariant subspaces and unstarred operator algebras
• The multiplier problem
• Les shifts à poids dissymétriques sont hyper-réflexifs
• Translation invariant subspaces of weighted $l^p$ and $L^p$ spaces.

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