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Stabilité du spectre ponctuel d'opérateurs de Toeplitz généralisés

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Nikolskaia L.

Studia Mathematica

1995

tom 116

nr 1

1-22

A general scheme based on a commutation relation is proposed to give rise to a definition of generalized Toeplitz operators on a Banach space. Under suitable conditions the existence of a symbol is proved and its continuation to algebras generated by generalized Toeplitz operators is constructed. A stability theorem for the point spectrum of an operator from generalized Toeplitz algebras is established; as examples one considers the standard and operator valued Toeplitz operators on weighted Hardy spaces and on spaces of functions (distributions) with weighted $l^p$ Fourier transforms.

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1 Studia Mathematica

1 Nikolskaia L.

1 1995

Wyniki wyszukiwania

Stabilité du spectre ponctuel d'opérateurs de Toeplitz généralisés