Locally one-dimensional \(K\)-spaces and \(\sigma\)-distributive Boolean algebras

zbMath0854.46007MaRDI QIDQ1920120

Aleksandr Efimovich Gutman

Publication date: 20 August 1996

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularregular operatoratomic Boolean algebra\(\sigma\)-distributive Boolean algebra\(\sigma\)-inductive Boolean algebraband preserving operatorsdiscrete \(K\)-spacelocally one-dimensional \(K\)-spacereal numbers in a Boolean-valued universeuniversally complete \(K\)-space

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Nonstandard functional analysis (46S20) Ordered topological linear spaces, vector lattices (46A40)

Related Items (9)

Boolean-valued universe as an algebraic system. II: Intensional hierarchies ⋮ Boolean methods in positivity ⋮ Derivations on universally complete \(f\)-algebras ⋮ The Wickstead problem on Dedekind \(\sigma \)-complete vector lattices ⋮ Two applications of Boolean valued analysis ⋮ Теорема Гордона: истоки и смысл ⋮ Erased Kantorovich spaces ⋮ Boolean Valued Analysis: Background and Results ⋮ Inverses and regularity of band preserving operators.

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