On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions

DOI10.1007/978-3-030-49763-7_4OpenAlexW2975925790MaRDI QIDQ5013594

Sergej N. Melikhov, Olga A. Ivanova

Publication date: 2 December 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13703

zbMATH Keywords

commutantbackward shift operatorDuhamel productweighted space of entire functions

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Special classes of entire functions of one complex variable and growth estimates (30D15) Operator theory (47-XX)

Related Items (1)

Duhamel Banach algebra structure of some space and related topics

Cites Work

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• Operators that commute with generalized integration in spaces of analytic functionals
• Duhamel algebras and applications
• On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions
• The Duhamel product of analytic functions
• On invariant subspaces of the Pommiez operator in the spaces of entire functions of exponential type
• Commutants of the Pommiez operator
• On operators commuting with a Pommiez type operator in weighted spaces of entire functions
• Functional Shifts Induced by Right Invertible Operators
• A UNIQUENESS PROPERTY

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