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

E. Bayram, A. W. Wickstead*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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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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