Dynamical Properties and Some Classes of Non-porous Subsets of Lebesgue Spaces
Taiwanese Journal of Mathematics, cilt.28, sa.2, ss.313-328, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 28 Sayı: 2
- Basım Tarihi: 2024
- Doi Numarası: 10.11650/tjm/231204
- Dergi Adı: Taiwanese Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.313-328
- Anahtar Kelimeler: hypercyclic vectors, Lebesgue spaces, locally compact groups, locally compact hypergroups, non-σ-porous sets, σ-porous operators
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Üniversitesi Adresli: Evet
Özet
In this paper, we introduce several classes of non-σ-porous subsets of a gen-eral 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.