Authors: | Ivković, Stefan Öztop, Serap Tabatabaie, Seyyed Mohammad |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Dynamical Properties and Some Classes of Non-porous Subsets of Lebesgue Spaces | Journal: | Taiwanese Journal of Mathematics | Volume: | 28 | Issue: | 2 | First page: | 313 | Last page: | 328 | Issue Date: | 2023 | Rank: | ~M23 | ISSN: | 1027-5487 | DOI: | 10.11650/tjm/231204 | Abstract: | In this paper, we introduce several classes of non-σ-porous subsets of a general Lebesgue space. Also, we study some linear dynamics of operators and show that the set of all non-hypercyclic vectors of a sequences of weighted translation operators on Lp-spaces is not σ-porous. |
Publisher: | Mathematical Society of the Republic of China |
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