Abstract
In this paper, we introduce several classes of non-$\sigma$-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 $L^{p}$-spaces is not $\sigma$-porous.
Acknowledgments
The authors would like to thank the reviewer for useful comments and suggestions that led to the improved version of the paper.
Citation
Stefan Ivković. Serap Öztop. Seyyed Mohammad Tabatabaie. "Dynamical Properties and Some Classes of Non-porous Subsets of Lebesgue Spaces." Taiwanese J. Math. 28 (2) 313 - 328, April, 2024. https://doi.org/10.11650/tjm/231204
Information
