Abstract

Let E, F be two separable Hilbert spaces. We shall denote as in [5] by {E, F,θ(λ)} an analytic function defined in the open unit disk D of the complex plane with values bounded operators from E into F. We say that {E,F,θ(λ)} is inner if there exists, a.e. with respect to Lebesgue measure on the unit circle T, the strong limit $$\theta \left( {{\text{e}}^{{\text{it}}} } \right) = \mathop {\lim }\limits_{x \to {\text{l}}} \theta \left( {{\text{re}}^{{\text{it}}} } \right)$$ and θ(eit) is an isometry for almost all tε[0,2π].KeywordsSeparable Hilbert SpaceFactorization TheoremPrediction TheoryWiener FilterOpen Unit DiskThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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