Dynamical Properties and Some Classes of Non-porous Subsets of Lebesgue Spaces

被引：0
|
作者：
Ivkovic, Stefan [1 ]
Oztop, Serap [2 ]
Tabatabaie, Seyyed Mohammad [3 ]
机构：
[1] Serbian Acad Arts & Sci, Math Inst, PP 367,Kneza Mihaila 36, Belgrade 11000, Serbia
[2] Istanbul Univ, Fac Sci, Dept Math, Istanbul, Turkiye
[3] Univ Qom, Dept Math, Qom, Iran
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2024年 / 28卷 / 02期
关键词：
non-sigma-porous sets; Lebesgue spaces; sigma-porous operators; locally compact groups; locally compact hypergroups; hypercyclic vectors;
D O I：
10.11650/tjm/231204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：313 / 328
页数：16
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