Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
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 back...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9306342 |
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| _version_ | 1832561369844547584 |
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| author | Andriy Zagorodnyuk Zoriana Novosad |
| author_facet | Andriy Zagorodnyuk Zoriana Novosad |
| author_sort | Andriy Zagorodnyuk |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8a4fd869f669402fb6bbd48bee3aaca6 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8a4fd869f669402fb6bbd48bee3aaca62025-02-03T01:25:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/93063429306342Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert SpacesAndriy Zagorodnyuk0Zoriana Novosad1Vasyl Stefanyk Precarpathian National University, 57 Shevchenka Str., Ivano-Frankivsk 76018, UkraineLviv University of Trade and Economics, 10 Tuhan-Baranovsky Str., Lviv 79005, UkraineIn 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.http://dx.doi.org/10.1155/2021/9306342 |
| spellingShingle | Andriy Zagorodnyuk Zoriana Novosad Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces Journal of Function Spaces |
| title | Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces |
| title_full | Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces |
| title_fullStr | Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces |
| title_full_unstemmed | Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces |
| title_short | Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces |
| title_sort | topological transitivity of shift similar operators on nonseparable hilbert spaces |
| url | http://dx.doi.org/10.1155/2021/9306342 |
| work_keys_str_mv | AT andriyzagorodnyuk topologicaltransitivityofshiftsimilaroperatorsonnonseparablehilbertspaces AT zoriananovosad topologicaltransitivityofshiftsimilaroperatorsonnonseparablehilbertspaces |