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J-contractive operator valued functions, vector valued de Branges spaces and functional models

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arxiv 2411.01921 v2 pith:JVJSGISU submitted 2024-11-04 math.FA

J-contractive operator valued functions, vector valued de Branges spaces and functional models

classification math.FA
keywords valuedbrangesfunctionalfunctionsmodelsoperatorspacesvector
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The aim of this paper is to study the vector valued de Branges spaces, which are based on $J$-contractive operator valued analytic functions, and to explore their role in the functional models for simple, closed, densely defined, symmetric operators with infinite deficiency indices.

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