The order properties of \(r\)-compact operators on Banach lattices

DOI10.1007/s10114-005-0783-2zbMath1123.46015OpenAlexW2129991780MaRDI QIDQ884918

N. E. Zubov

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0783-2

zbMATH Keywords

regular normregular compact operators

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators on ordered spaces (47B60)

Related Items (8)

The duality property of positive \(r\)-compact operators ⋮ A result on the ideal structure of \(\mathcal L^r(X)\) for uniformly convex \(X\) ⋮ On the domination problem of positive null almost \(L\)-weakly compact operators on Banach lattices ⋮ Banach lattices of \(L\)-weakly and \(M\)-weakly compact operators ⋮ On the regularity of homomorphisms between Riesz subalgebras of \(\mathcal{L}^r(X)\). II. ⋮ The order continuity of the regular norm on regular operator spaces ⋮ On the lattice properties of almost L-weakly and almost M-weakly compact operators ⋮ A version of Kalton's theorem for the space of regular operators

Cites Work

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• Compact operators in Banach lattices
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• Some applications of Rademacher sequences in Banach lattices
• AL-spaces and AM-spaces of operators
• Positive compact operators on Banach lattices: Some loose ends
• The centre of spaces of regular operators
• Ideals of Regular Operators on l 2
• Incompleteness of the linear span of the positive compact operators
• Solutions of Several Problems in the Theory of Compact Positive Operators

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