scientific article

zbMath1199.47002MaRDI QIDQ3616472

Vladimir I. Chilin, Mustafa A. Muratov

Publication date: 25 March 2009

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

von Neumann algebrasalmost everywhere convergencemeasurable operator\(\tau\)-measurable operatorlocally measurable operator(o)-convergence*-algebra of unbounded operators

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear operators in (C^*)- or von Neumann algebras (47C15) Linear operators in ({}^*)-algebras (47C10)

Related Items

Ring isomorphisms of Murray-von Neumann algebras ⋮ Comparison of topologies on \(\ast\)-algebras of locally measurable operators ⋮ Derivations, local and 2-local derivations on algebras of measurable operators ⋮ Characterizing linear mappings through zero products or zero Jordan products ⋮ Continuous derivations on \(\ast\)-algebras of \(\tau\)-measurable operators are inner ⋮ Commutator estimates in von Neumann algebras ⋮ Almost uniform convergence in the noncommutative Dunford-Schwartz ergodic theorem ⋮ Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators ⋮ Noncommutative integration for traces with values in Kantorovich-Pinsker spaces ⋮ Ring derivations of Murray-von Neumann algebras ⋮ Topologies on central extensions of von Neumann algebras ⋮ Continuity of derivations of algebras of locally measurable operators ⋮ Continuity of derivations on properly infinite \(*\)-algebras of \(\tau\)-measurable operators ⋮ Spatiality of derivations on the algebra of \(\tau \)-compact operators ⋮ Local derivations on measurable operators and commutativity ⋮ Derivations with values in ideals of semifinite von Neumann algebras ⋮ Additive derivations on generalized Arens algebras ⋮ DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS ⋮ Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras ⋮ Characterizations of centralizable mappings on algebras of locally measurable operators ⋮ On a generalized uniform zero-two law for positive contractions of noncommutative \(L_1\)-spaces and its vector-valued extension ⋮ Ring isomorphisms of \(\ast \)-subalgebras of Murray-von Neumann factors ⋮ On noncommutative weak Orlicz-Hardy spaces ⋮ Topological algebras of measurable and locally measurable operators ⋮ Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\) ⋮ Sums and intersections of symmetric operator spaces ⋮ Fuglede-Putnam theorem for locally measurable operators ⋮ Continuous derivations on algebras of locally measurable operators are inner