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

2024/11/04 by B. P. Garg, Garg, Bharti, Santanu Sarkar +1
Mathematics · #Fixed Point Theorems Analysis #Holomorphic and Operator Theory #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2411.01921

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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