Notes about Quasi-Mixing Operators
In this article, we introduce quasi-mixing operators and construct various examples. We prove that quasi-mixing operators exist on all finite-dimensional and infinite-dimensional Banach spaces. We also prove that an invertible operator $T$ is quasi-mixing if and only if $T^{-1}$ is quasi-mixing. We...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_709870_d8b18387b99c1708d8a5260a88b67f34.pdf |
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| _version_ | 1823859394828304384 |
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| author | Mansooreh Moosapoor Ismail Nikoufar |
| author_facet | Mansooreh Moosapoor Ismail Nikoufar |
| author_sort | Mansooreh Moosapoor |
| collection | DOAJ |
| description | In this article, we introduce quasi-mixing operators and construct various examples. We prove that quasi-mixing operators exist on all finite-dimensional and infinite-dimensional Banach spaces. We also prove that an invertible operator $T$ is quasi-mixing if and only if $T^{-1}$ is quasi-mixing. We state some sufficient conditions under which an operator is quasi-mixing. Moreover, we prove that the direct sum of two operators is quasi-mixing if and only if any of them is quasi-mixing. |
| format | Article |
| id | doaj-art-54630b8901fb4b2982095ef6dfa07f0a |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-54630b8901fb4b2982095ef6dfa07f0a2025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121230531310.22130/scma.2023.2006698.1383709870Notes about Quasi-Mixing OperatorsMansooreh Moosapoor0Ismail Nikoufar1Associate Professor, Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.Associate Professor, Department of Mathematics, Payame Noor University, Tehran, Iran.In this article, we introduce quasi-mixing operators and construct various examples. We prove that quasi-mixing operators exist on all finite-dimensional and infinite-dimensional Banach spaces. We also prove that an invertible operator $T$ is quasi-mixing if and only if $T^{-1}$ is quasi-mixing. We state some sufficient conditions under which an operator is quasi-mixing. Moreover, we prove that the direct sum of two operators is quasi-mixing if and only if any of them is quasi-mixing.https://scma.maragheh.ac.ir/article_709870_d8b18387b99c1708d8a5260a88b67f34.pdfquasi-mixing operatorsmixing operatorsdirect sumhypercyclic operators |
| spellingShingle | Mansooreh Moosapoor Ismail Nikoufar Notes about Quasi-Mixing Operators Sahand Communications in Mathematical Analysis quasi-mixing operators mixing operators direct sum hypercyclic operators |
| title | Notes about Quasi-Mixing Operators |
| title_full | Notes about Quasi-Mixing Operators |
| title_fullStr | Notes about Quasi-Mixing Operators |
| title_full_unstemmed | Notes about Quasi-Mixing Operators |
| title_short | Notes about Quasi-Mixing Operators |
| title_sort | notes about quasi mixing operators |
| topic | quasi-mixing operators mixing operators direct sum hypercyclic operators |
| url | https://scma.maragheh.ac.ir/article_709870_d8b18387b99c1708d8a5260a88b67f34.pdf |
| work_keys_str_mv | AT mansoorehmoosapoor notesaboutquasimixingoperators AT ismailnikoufar notesaboutquasimixingoperators |