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Creators/Authors contains: "Hartz, Michael"

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  1. ; ; ; (, Journal d'Analyse Mathématique)
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  2. ; ; ; (, Transactions of the American Mathematical Society)
    Jury and Martin establish an analogue of the classical inner-outer factorization of Hardy space functions. They show that every function f f in a Hilbert function space with a normalized complete Pick reproducing kernel has a factorization of the type f = φ<#comment/> g f=\varphi g , where g g is cyclic, φ<#comment/> \varphi is a contractive multiplier, and ‖<#comment/> f ‖<#comment/> = ‖<#comment/> g ‖<#comment/> \|f\|=\|g\| . In this paper we show that if the cyclic factor is assumed to be what we call free outer, then the factors are essentially unique, and we give a characterization of the factors that is intrinsic to the space. That lets us compute examples. We also provide several applications of this factorization. 
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