DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS

DOI10.1142/S0219025710004085zbMath1203.46047OpenAlexW2075018430MaRDI QIDQ3580211

Karimbergen K. Kudaybergenov, Shavkat A. Ayupov

Publication date: 11 August 2010

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025710004085

zbMATH Keywords

von Neumann algebrasinner derivationderivationmeasurable operatorlocal derivationregular algebraspatial derivationlocally measurable operatornoncommutative Arens algebrascentral extensions of von Neumann algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative measure and integration (46L51) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (11)

Heisenberg relation for locally measurable operators ⋮ Derivations with values in quasi-normed bimodules of locally measurable operators ⋮ Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators ⋮ Boolean valued analysis of Banach algebras ⋮ Topologies on central extensions of von Neumann algebras ⋮ Continuity of derivations of algebras of locally measurable operators ⋮ Spatiality of derivations on the algebra of \(\tau \)-compact operators ⋮ Additive derivations on generalized Arens algebras ⋮ Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras ⋮ Derivations on Murray–von Neumann algebras ⋮ Continuous derivations on algebras of locally measurable operators are inner

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