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Banach lattices of \(L\)-weakly and \(M\)-weakly compact operators

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Publication:517471
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DOI10.1007/s00013-017-1026-3zbMath1366.46011OpenAlexW2588728220WikidataQ59615022 ScholiaQ59615022MaRDI QIDQ517471

Yong-Cai Geng, Sumit K. Garg

Publication date: 23 March 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-017-1026-3


zbMATH Keywords

Banach lattice\(AL\)-spaceorder continuous norm\(AM\)-space\(L\)-weakly compact operator\(M\)-weakly compact operator


Mathematics Subject Classification ID

Banach lattices (46B42) Spaces of operators; tensor products; approximation properties (46B28) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65)


Related Items (3)

L-weakly and M-weakly compact operators and the centre ⋮ On the domination problem of positive null almost \(L\)-weakly compact operators on Banach lattices ⋮ On the lattice properties of almost L-weakly and almost M-weakly compact operators



Cites Work

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  • \(L\)-weakly and \(M\)-weakly compact operators
  • The order properties of \(r\)-compact operators on Banach lattices
  • Banach lattices
  • AL-spaces and AM-spaces of operators


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