On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions

DOI10.1007/s11785-016-0617-5OpenAlexW2962912465MaRDI QIDQ1682256

Olga A. Ivanova, Sergej N. Melikhov

Publication date: 29 November 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03850

zbMATH Keywords

cyclic elementPommiez operator(LF)-space of entire functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (9)

Some applications of the \(\alpha\)-Duhamel product ⋮ A Banach algebra structure on the $q$-Bergman space and related topics ⋮ Cyclic vectors and invariant subspaces of the backward shift operator in Schwartz modules ⋮ Pommiez operator in spaces of analytic functions of several complex variables ⋮ ON TOPOLOGICAL ALGEBRAS OF ANALYTIC FUNCTIONALS WITH A MULTIPLICATION DEFINED BY TRANSLATIONS ⋮ Coefficients of exponential series for analytic functions and the Pommiez operator ⋮ The Commutant of the Pommiez Operator in a Space of Entire Functions of Exponential Type and Polynomial Growth on the Real Line ⋮ On invariant subspaces of the Pommiez operator in the spaces of entire functions of exponential type ⋮ On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions

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