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Composition operators acting on weighted Hilbert spaces of analytic\n functions

2013/06/05 by Mostafa Hassanlou, Hassanlou, Mostafa
Mathematics · #46E40 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 47B33 #Secondary 30H30

paper · pdf · doi:10.48550/arxiv.1306.1018

openalex publication_date 2013/06/05 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider composition operators on weighted Hilbert spaces\nof analytic functions and observe that a formula for the essential norm, give a\nHilbert-Schmidt characterization and characterize the membership in\nSchatten-class for these operators. Also, closed range composition operators\nare investigated.\n

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