Some characterizations of AM- and AL-spaces

DOI10.1007/BF01214942zbMath0285.46009OpenAlexW2017511769MaRDI QIDQ1845340

Donald I. Cartwright, Heinrich P. Lotz

Publication date: 1975

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172186

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items (12)

Space of operators acting from one Banach lattice to another ⋮ \textit{un} L- and M-weakly compact operators on Banach lattices ⋮ When each continuous operator is regular. II ⋮ Abstract M- and Abstract L-Spaces of Polynomials on Banach Lattices ⋮ Normed lattices ⋮ Polynomials on Banach lattices and positive tensor products ⋮ \(L\)-weakly and \(M\)-weakly compact operators ⋮ The Radon--Nikodym property for tensor products of Banach lattices ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Characterizations of Riesz spaces with \(b\)-property ⋮ Schauder decompositions and the Fremlin projective tensor product of Banach lattices ⋮ A Characterization of Discrete Banach Lattices with Order Continuous Norms

Cites Work

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• Theorems in the additive theory of numbers
• Normed tensor products of Banach lattices
• Some ideals of operators on Hilbert space
• Über den Absolutbetrag stetiger linearer Operatoren und seine Anwendung auf ergodische Zerlegungen.

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