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http://hdl.handle.net/2445/97261
Title: | Interpolating functions of minimal norm, star-invariant subspaces, and kernels of Toeplitz operators |
Author: | Dyakonov, Konstantin M. |
Keywords: | 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 |
Issue Date: | Dec-1992 |
Publisher: | American Mathematical Society (AMS) |
Abstract: | 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. |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-1992-1100649-2 |
It is part of: | Proceedings of the American Mathematical Society, 1992, vol. 116, num. 4, p. 1007-1013 |
URI: | http://hdl.handle.net/2445/97261 |
Related resource: | http://dx.doi.org/10.1090/S0002-9939-1992-1100649-2 |
ISSN: | 0002-9939 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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