Published January 1, 2017 | Version v1
Journal article Open

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

  • 1. Namik Kemal Univ, Dept Math, Fac Sci & Arts, Tekirdag, Turkey
  • 2. Queens Univ Belfast, Math Sci Res Ctr, Belfast BT7 1NN, Antrim, North Ireland

Description

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.

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