Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces-Reference-Cited by-同舟云学术

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

Published:2021-10-16 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Zagorodnyuk Andriy¹^ORCID,Novosad Zoriana²^ORCID

Affiliation:

1. Vasyl Stefanyk Precarpathian National University, 57 Shevchenka Str., Ivano-Frankivsk 76018, Ukraine

2. Lviv University of Trade and Economics, 10 Tuhan-Baranovsky Str., Lviv 79005, Ukraine

Abstract

In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.

Funder

National Research Foundation of Ukraine

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9306342.pdf

Reference18 articles.

1. Dynamics of Linear Operators

2. Démonstration d’un théorème élémentaire sur les fonctions entières;G. D. Birkhoff;C. R. Acad. Sci. Paris,1929

3. Sequences of derivatives and normal families

4. The range of operators on von Neumann algebras

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Backward Shift and Two Infinite-Dimension Phenomena in Banach Spaces;Symmetry;2023-10-02

2. Topological transitivity of translation operators in a non-separable Hilbert space;Carpathian Mathematical Publications;2023-06-30