Convex sets in noncommutative \(L_1\)-spaces, closed in the topology of local convergence in measure
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Publication:705700
zbMath1115.46306MaRDI QIDQ705700
G. Sh. Skvortsova, Oleg E. Tikhonov
Publication date: 14 February 2005
Published in: Russian Mathematics (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Noncommutative measure and integration (46L51)
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Measures on orthoideals and \(L_1\)-spaces associated with positive operators ⋮ The topologies of local convergence in measure on the algebras of measurable operators ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ \(C^{*}\)-algebra positive element invertibility criteria in terms of \(L_1\)-norms equivalence and \(L_\infty\)-norms equivalence ⋮ Noncommutative Yosida-Hewitt theorem in noncommutative Calderón-Lozanovskiĭ spaces ⋮ Local convergence in measure on semifinite von Neumann algebras
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