Questions about extreme points
We discuss the geometry of the unit ball —specifically, the structure of its extreme points (if any)— in subspaces of $L^{1}$ and $L^{\infty}$ on the circle that are formed by functions with prescribed spectral gaps. A similar issue is considered for kernels of Toeplitz operators in $H^{\infty}$....
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/217653 |
| Acesso em linha: | https://hdl.handle.net/2445/217653 |
| Access Level: | acceso abierto |
| Palavra-chave: | Anàlisi harmònica Funcions analítiques Funcions de variables complexes Espais de Hardy Harmonic analysis Analytic functions Functions of complex variables Hardy spaces |
| Resumo: | We discuss the geometry of the unit ball —specifically, the structure of its extreme points (if any)— in subspaces of $L^{1}$ and $L^{\infty}$ on the circle that are formed by functions with prescribed spectral gaps. A similar issue is considered for kernels of Toeplitz operators in $H^{\infty}$. |
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