L-weakly and M-weakly compact operators and the centre |
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| Authors: | E Bayram A W Wickstead |
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| Institution: | 1.Department of Mathematics, Faculty of Science and Arts,Namik Kemal University,Tekirdag,Turkey;2.Mathematical Sciences Research Centre,Queen’s University Belfast,Belfast,Northern Ireland, UK |
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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. |
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