Invariant subspaces of the generalized backward shift operator and rational functions

DOI10.1090/SPMJ/1734OpenAlexW3021584080MaRDI QIDQ5047965

Yuriĭ Nikolaevich Melikhov, Sergej N. Melikhov, Olga A. Ivanova

Publication date: 17 November 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01596

zbMATH Keywords

invariant subspacebackward shift operatorspace of holomorphic functions

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Cites Work

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• On invariant subspaces of the Pommiez operator in the spaces of entire functions of exponential type
• Cyclic vectors and invariant subspaces of the backward shift operator
• On the orbits of analytic functions with respect to a Pommiez type operator
• Dualität in der Funktionentheorie.

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