On idempotent \(\tau\)-measurable operators affiliated to a von Neumann algebra

DOI10.1134/S0001434616090224zbMath1370.46038MaRDI QIDQ509159

Airat M. Bikchentaev

Publication date: 9 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebraHilbert spaceidempotentprojectionquasinormal operator\(\tau\)-compact operator\(\tau\)-measurable operatorintegrable operatornormal tracenon-increasing rearrangementrank projection

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51)

Related Items (19)

Differences of idempotents in \(C^\ast\)-algebras ⋮ Paranormal measurable operators affiliated with a semifinite von Neumann algebra. II ⋮ The algebra of thin measurable operators is directly finite ⋮ Trace and commutators of measurable operators affiliated to a von Neumann algebra ⋮ Differences and commutators of idempotents in \(C^*\)-algebras ⋮ On operators all of which powers have the same trace ⋮ On \(\tau \)-essentially invertibility of \(\tau \)-measurable operators ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Paranormal measurable operators affiliated with a semifinite von Neumann algebra ⋮ Two classes of \(\tau\)-measurable operators affiliated with a von Neumann algebra ⋮ On \(\tau\)-compactness of products of \(\tau\)-measurable operators ⋮ Ideal spaces of measurable operators affiliated to a semifinite von Neumann algebra ⋮ Rearrangements of tripotents and differences of isometries in semifinite von Neumann algebras ⋮ Differences of idempotents in \(C^\ast\)-algebras and the quantum Hall effect ⋮ Paranormal elements in normed algebra ⋮ On the \(\tau\)-compactness of products of \(\tau\)-measurable operators adjoint to semi-finite von Neumann algebras ⋮ Trace and differences of idempotents in \(C^\ast\)-algebras ⋮ Tripotents in algebras: ideals and commutators ⋮ Differences and commutators of projections on a Hilbert space

Cites Work

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• Concerning the theory of \(\tau\)-measurable operators affiliated to a semifinite von Neumann algebra
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• Local convergence in measure on semifinite von Neumann algebras
• On normal \(\tau\)-measurable operators affiliated with semifinite von Neumann algebras
• A non-commutative extension of abstract integration
• RANGE PROJECTIONS OF IDEMPOTENTS IN C*-ALGEBRAS
• Noncommutative Kothe Duality
• Non-commutative L^P-spaces

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