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

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Ivković S., Öztop S., Tabatabaie S. M.

Taiwanese Journal of Mathematics, cilt.28, sa.2, ss.313-328, 2024 (SCI-Expanded) identifier identifier identifier

  • 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
  • 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.