L-weakly and M-weakly compact operators and the centre

E. Bayram, A. W. Wickstead*

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Citation (Scopus)
202 Downloads (Pure)

Abstract

We extend known results concerning the centre of spaces of regular (resp. weakly compact or compact) operators between two Banach lattices to the setting of L-weakly compact and M-weakly compact operators. We also show that the L-weakly compact, M-weakly compact, and compact operators lying in the centre of a Banach lattice coincide.

Original languageEnglish
Pages (from-to)1-9
JournalArchiv der Mathematik
Early online date04 Aug 2017
DOIs
Publication statusEarly online date - 04 Aug 2017

Keywords

  • Banach lattice
  • Centre of ordered vector space
  • L-weakly compact operator
  • M-weakly compact operator

ASJC Scopus subject areas

  • Mathematics(all)

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