Some results on almost Banach-Saks operators

Authors

  • N. Hafidi </span>Universite Moulay Ismail, Facult&eacute; des Sciences, D&eacute;partement de Math&eacute;matiques, B.P. 11201 Zitoune, Mekn&egrave;s, Morocco
  • J. H'Michane </span>Universite Moulay Ismail, Facult&eacute; des Sciences, D&eacute;partement de Math&eacute;matiques, B.P. 11201 Zitoune, Mekn&egrave;s, Morocco; Gosaef, Faculte des Sciences de Tunis, Manar II-Tunis, Tunisia
  • M. Sarih </span>Universite Moulay Ismail, Facult&eacute; des Sciences, D&eacute;partement de Math&eacute;matiques, B.P. 11201 Zitoune, Mekn&egrave;s, Morocco

DOI:

Keywords:

Disjoint Banach-Saks property, Koml´os property, order continuous norm, Schur property, Banach-Saks operator

Abstract

We introduce and study a new class of operators that we call almost Banach-Saks operators. We characterize Banach lattices under which each operator is almost Banach-Saks. Furthermore, we study the relationship between this class and other classes of operators, some other interesting results are also obtained.

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Published

2019-09-25

Issue

Vol. 25 No. 3 (2019)

Section

Articles

How to Cite

Hafidi, N., et al. “Some Results on Almost Banach-Saks Operators”. Methods of Functional Analysis and Topology, vol. 25, no. 3, Sept. 2019, pp. 227-35, https://zen.imath.kiev.ua/index.php/mfat/article/view/728.