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
Issue Date: 2023
Rank: ~M23
ISSN: 1027-5487
DOI: 10.11650/tjm/231204
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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