On \(\tau\)-compactness of products of \(\tau\)-measurable operators

DOI10.1007/s10773-017-3318-6zbMath1398.46050OpenAlexW2588764078MaRDI QIDQ682635

Airat M. Bikchentaev

Publication date: 5 February 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-017-3318-6

zbMATH Keywords

von Neumann algebraHilbert spacerearrangementlinear operatorelementary operator\(\tau\)-compact operator\(\tau\)-measurable operatorintegrable operatornormal semifinite trace

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30)

Related Items

On some Fuglede-Kadison determinant inequalities of operator means, Paranormal measurable operators affiliated with a semifinite von Neumann algebra. II, On \(\tau \)-essentially invertibility of \(\tau \)-measurable operators, Studies on noncommutative measure theory in Kazan university (1968--2018), A generalized Hölder-type inequality for measurable operators, Tripotents in algebras: ideals and commutators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concerning the theory of \(\tau\)-measurable operators affiliated to a semifinite von Neumann algebra
• Trace and integrable operators affiliated with a semifinite von Neumann algebra
• Integrable products of measurable operators
• On the closedness of the sum of ranges of operators \(A_k\) with almost compact products \(A_i^\ast A_j\)
• On idempotent \(\tau\)-measurable operators affiliated to a von Neumann algebra
• Commutativity of projections and characterization of traces on von Neumann algebras
• Commutation of projections and trace characterization on von Neumann algebras. II.
• The Peierls-Bogoliubov inequality in \(C^\ast\)-algebras and characterization of tracial functionals
• Zero or compact products of several Hankel operators.
• Compactness of products of Hankel operators on the polydisk and some product domains in \(\mathbb C^2\)
• Disjointly homogeneous Banach lattices and compact products of operators
• On the continuity of the map \(\phi\) \(\to | \phi |\) from the predual of a \(W^*\)-algebra
• Notes on non-commutative integration
• On the theory of compact operators in von Neumann algebras. II
• Majorization for products of measurable operators
• On a property of \(L_p\) spaces on semifinite von Neumann algebras
• The continuity of multiplication for two topologies associated with a semifinite trace on von Neumann algebra
• Compact products of Hankel operators
• Block projection operators in normed solid spaces of measurable operators
• On the A. M. Bikchentaev conjecture
• Generalized s-numbers of \(\tau\)-measurable operators
• Compact products of Toeplitz operators on the Dirichlet space of the unit ball
• On normal \(\tau\)-measurable operators affiliated with semifinite von Neumann algebras
• On operator monotone and operator convex functions
• A non-commutative extension of abstract integration
• Noncommutative Kothe Duality
• Compact Product of Hankel and Toeplitz Operators on the Hardy space
• Non-commutative L^P-spaces