- Tytuł:
- Stabilité du spectre ponctuel dopérateurs de Toeplitz généralisés
- Autorzy:
- Nikolskaia, Lioudmila
- Tematy:
-
Toeplitz and Wiener-Hopf operators
multipliers
quasi-continuous functions - Pokaż więcej
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/1288866.pdf Link otwiera się w nowym oknie
- Opis:
- 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.
- Dostawca treści:
- Biblioteka Nauki
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