Please use this identifier to cite or link to this item: 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 enteresFuncions meromorfesFuncions de variables complexesOperadors linealsTeoria d'operadorsEntire functionsMeromorphic functionsFunctions of complex variablesLinear operatorsOperator 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 Related resource: http://dx.doi.org/10.1090/S0002-9939-1992-1100649-2 URI: http://hdl.handle.net/2445/97261 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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