Título:
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Interpolating functions of minimal norm, star-invariant subspaces, and kernels of Toeplitz operators
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Autor/a:
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Dyakonov, Konstantin M.
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Otros autores:
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Universitat de Barcelona |
Abstract:
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It is proved that for each inner function $ \theta $ there exists an interpolating sequence $ \left\{ {{z_n}} \right\}$ in the disk such that $ {\sup _n}\vert\theta ({z_n})\vert < 1$, but every function $ g$ in $ {H^\infty }$ with $ g({z_n}) = \theta ({z_n})(n = 1,2, \ldots )$ satisfies $ \vert\vert g\vert{\vert _\infty } \geq 1$. Some results are obtained concerning interpolation in the star-invariant subspace $ {H^2} \ominus \theta {H^2}$. This paper also contains a 'geometric' result connected with kernels of Toeplitz operators. |
Materia(s):
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-Funcions enteres -Funcions meromorfes -Funcions de variables complexes -Operadors lineals -Teoria d'operadors -Entire functions -Meromorphic functions -Functions of complex variables -Linear operators -Operator theory |
Derechos:
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(c) American Mathematical Society (AMS), 1992
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Tipo de documento:
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Artículo Artículo - Versión publicada |
Editor:
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American Mathematical Society (AMS)
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Compartir:
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