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

Published 4 Nov 2024 in math.FA | (2411.01921v2)

Abstract: 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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