Geodesic
Stabilité du spectre ponctuel d'opérateurs de Toeplitz généralisés
Studia Mathematica, Tome 116 (1995) no. 1, pp. 1-22

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-116-1-1-22
Mots-clés : Toeplitz and Wiener-Hopf operators, multipliers, quasi-continuous functions

Lioudmila Nikolskaia 1

1 
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Lioudmila Nikolskaia. Stabilité du spectre ponctuel d'opérateurs de Toeplitz généralisés. Studia Mathematica, Tome 116 (1995) no. 1, pp. 1-22. doi: 10.4064/sm-116-1-1-22

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