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publication name On the Positive Function of Bounded Type in Hilbert Space
Authors K. EL NAGAAR and A.A.EL-SABBAGH
year 2008
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Abstract

An invariant subspace theory for contractive transformations in Hilbert space which are due to L. de Branges and J. Roovnyak are considered. Now we are interested in using reproducing kernel spaces methods in Hilbert space in realization problem for functions of bounded type in the unit disk. Tlie relation between factorization and invariant subspaces for continuous and contractive transformations in Hilbert space will be discussed.

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