Linear combination of projections in von Neumann factors

DOI10.1016/j.jmaa.2020.124135zbMath1448.46047OpenAlexW3015729691MaRDI QIDQ2188326

Adam Paszkiewicz, Stanisław Goldstein

Publication date: 10 June 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124135

zbMATH Keywords

projectionlinear combinationfactor

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classification of factors (46L36)

Related Items (1)

Linear combinations of projections in type III factors

Cites Work

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• Positive combinations of projections in von Neumann algebras and purely infinite simple \(C^*\)-algebras
• Generalized dimension function for \(W*\)-algebras of infinite type
• Any Hermitian matrix is a linear combination of four projections
• The structure of a real linear combination of two projections
• Generalized s-numbers of \(\tau\)-measurable operators
• Commutators and linear spans of projections in certain finite \(C^\ast\)-algebras
• Sums of small numbers of idempotents
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Finite sums of projections in von Neumann algebras
• Linear Combinations of Projections in von Neumann Algebras
• Two Subspaces
• On sums of projections

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