On the Modulus of Weakly Compact Operators and Strongly Additive Vector Measures

DOI10.2307/2047324zbMath0662.46025OpenAlexW4239088907MaRDI QIDQ3811172

Klaus D. Schmidt

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047324

zbMATH Keywords

Banach latticemodulusweakly compact operatororder continuous normorder complete AM-space with units- bounded or exhaustive additive set functionsstrongly additive vector measure

Mathematics Subject Classification ID

Banach lattices (46B42) Vector-valued set functions, measures and integrals (28B05) Linear operators on ordered spaces (47B60) Vector-valued measures and integration (46G10) Linear spaces of operators (47L05) Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items (6)

The Nikodým boundedness theorem for lattice-valued measures ⋮ On the work of Lech Drewnowski ⋮ The Daugavet equation in uniformly convex Banach spaces ⋮ Vector lattices of weakly compact operators on Banach lattices ⋮ On some vector lattices of operators and their finite elements ⋮ On Banach lattices with Levi norms

Cites Work

• Decompositions of vector measures in Riesz spaces and Banach lattices
• EXTREMAL STRUCTURE OF CONES OF OPERATORS
• On Weakly Compact Operators on Banach Lattices
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