Measures on orthoideals and \(L_1\)-spaces associated with positive operators

DOI10.1134/S1995080216040144zbMath1362.46062MaRDI QIDQ323642

Oleg E. Tikhonov, An. An. Novikov

Publication date: 10 October 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebrameasure on orthoideal

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51)

Related Items (4)

On sets of measurable operators convex and closed in topology of convergence in measure ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures ⋮ \(C^{*}\)-algebra positive element invertibility criteria in terms of \(L_1\)-norms equivalence and \(L_\infty\)-norms equivalence

Cites Work

• Convex sets in noncommutative \(L_1\)-spaces, closed in the topology of local convergence in measure
• Introduction to the theory of noncommutative integration
• Theory of operator algebras. II
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