On the Lattice Properties of Almost L-Weakly and Almost M-Weakly Compact Operators

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Akay B., GÖK Ö.

JOURNAL OF FUNCTION SPACES, cilt.2021, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1155/2021/1755373
  • Dergi Adı: JOURNAL OF FUNCTION SPACES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We establish the domination property and some lattice approximation properties for almost L-weakly and almost M-weakly compact operators. Then, we consider the linear span of positive almost L-weakly (resp., almost M-weakly) compact operators and give results about when they form a Banach lattice and have an order continuous norm.