Topological transitivity of translation operators in a non-separable Hilbert space

Authors

  • Z.H. Novosad Lviv University of Trade and Economics, 10 Tuhan-Baranovskyi str., 79005, Lviv, Ukraine
https://doi.org/10.15330/cmp.15.1.278-285

Keywords:

topologically transitive operator, hypercyclic operator, function space
Published online: 2023-06-30

Abstract

We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are topologically transitive in this space.

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How to Cite
(1)
Novosad, Z. Topological Transitivity of Translation Operators in a Non-Separable Hilbert Space. Carpathian Math. Publ. 2023, 15, 278-285.