L-LIMITED AND ALMOST L-LIMITED SETS IN DUAL BANACH LATTICES

Authors

  • Halimeh Ardakani Payame Noor University
  • S.M.Sadegh MODARRES MOSADEGH University of Yazd
  • Manijeh Salimi Farhangian University
  • S. Mohammad MOSHTAGHIOUN University of Yazd

DOI:

https://doi.org/10.30495/jme.v12i1.686

Keywords:

L{limited set, limited completely continuous operator, Gelfand-Phillips property

Abstract

Following the concept of L-limited sets in dual Banach spaces

introduced by Salimi and Moshtaghioun, we introduce the concept of almost

L-limited sets in dual Banach lattices and then by a class of operators on

Banach lattices, so called disjoint limited completely continuous operators, we

characterize Banach lattices in which almost L-limited subsets of their dual,

coincide with L-limited sets.

Author Biography

Halimeh Ardakani, Payame Noor University

Department of Mathematics

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Published

2018-06-29

Issue

Vol. 12

Section

Vol. 12, No. 3, (2018)

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