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.
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Author E. Bayram was supported by The Scientific and Technological Research Council of Turkey (TUBITAK) in the context of 2219-Post Doctoral Fellowship Program and by the Research Foundation of Namik Kemal University (Project No.NKUBAP.01.GA.17.108).
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Bayram, E., Wickstead, A.W. L-weakly and M-weakly compact operators and the centre. Arch. Math. 109, 355–363 (2017). https://doi.org/10.1007/s00013-017-1077-5
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DOI: https://doi.org/10.1007/s00013-017-1077-5