Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces | Zendy

Andriy Zagorodnyuk | Zendy; Zoriaovosad | Zendy

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Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

Author(s) -

Andriy Zagorodnyuk,

Zoriaovosad

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9306342

Subject(s) - mathematics , compact operator on hilbert space , transitive relation , hilbert space , multiplication (music) , operator theory , pure mathematics , nuclear operator , dual (grammatical number) , topology (electrical circuits) , discrete mathematics , extension (predicate logic) , approximation property , compact operator , combinatorics , computer science , banach space , programming language , art , literature

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.

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