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

页码：313 / 328

页数：16

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