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

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 c...

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Bibliographic Details
Published in:Archiv der Mathematik 2017-10, Vol.109 (4), p.355-363
Main Authors: Bayram, E., Wickstead, A. W.
Format: Article
Language:English
Subjects:
Lattices (mathematics)
Linear operators
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-017-1077-5