Order-continuous functionals in Boolean-valued models of set theory

DOI10.1007/BF00969509zbMath0573.03023MaRDI QIDQ1062675

Anatoly G. Kusraev

Publication date: 1984

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Boolean algebraMaharam operatorBoolean universeDedekind principledesintegration formulaK- spacelattice ordered vector space

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (5)

Boolean-valued analysis of order-bounded operators ⋮ Boolean valued analysis of Banach spaces ⋮ Boolean-valued analysis and injective Banach lattices ⋮ The Boolean transfer principle for injective Banach lattices ⋮ Boolean Valued Analysis: Background and Results

Cites Work

• Convex analysis and measurable multifunctions
• Lectures in set theory with particular emphasis on the method of forcing
• Iterated Cohen extensions and Souslin's problem
• On Kernel Representation of Linear Operators
• The Representation of Abstract Integrals
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