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Interpolating functions of minimal norm, star-invariant subspaces, and kernels of Toeplitz operators

# metadata.dc.description.abstract[].value
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.

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Proceedings of the American Mathematical Society, 1992, vol. 116, num. 4, p. 1007-1013

# metadata.dc.rights[].value
(c) American Mathematical Society (AMS), 1992

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Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Interpolating functions of minimal norm, star-invariant subspaces, and kernels of Toeplitz operators