Incompleteness of the linear span of the positive compact operators

DOI10.1090/S0002-9939-97-04220-2zbMath0887.47033OpenAlexW1862636012MaRDI QIDQ4372384

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Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04220-2

zbMATH Keywords

Banach latticecompact operatorsregular operatorsorder continuous norm

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Positive linear operators and order-bounded operators (47B65)

Related Items (5)

The order properties of \(r\)-compact operators on Banach lattices ⋮ Spaces of regular abstract martingales ⋮ Some properties of the space of regular operators on atomic Banach lattices ⋮ On Kalton’s theorem for regular compact operators and Grothendieck property for positive projective tensor products ⋮ Dedekind σ-complete vector lattice of b-AM-compact operators

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• r-ASYMPTOTICALLY QUASI-FINITE RANK OPERATORS AND THE SPECTRUM OF MEASURES
• Solutions of Several Problems in the Theory of Compact Positive Operators
• Converses for the Dodds–Fremlin and Kalton–Saab theorems
• Remark on the modulus of compact operators
• Über den Absolutbetrag stetiger linearer Operatoren und seine Anwendung auf ergodische Zerlegungen.

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