Finite sums of projections in von Neumann algebras

DOI10.1090/S0002-9947-2013-05683-8zbMath1275.47088arXiv1007.4679OpenAlexW2079857079MaRDI QIDQ2838070

Shuang Zhang, Victor Kaftal, Herbert Halpern, Ping Wong Ng

Publication date: 8 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4679

zbMATH Keywords

defect partessentral central spectrumexcess partfinite sums of projectionspositive combinations of projections

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (6)

Linear combinations of projections in type III factors ⋮ Linear combination of projections in von Neumann factors ⋮ Commutators and linear spans of projections in certain finite \(C^\ast\)-algebras ⋮ Admissible sequences of positive operators ⋮ Positive combinations and sums of projections in purely infinite simple 𝐶*-algebras and their multiplier algebras ⋮ Finite sums of projections in purely infinite simple C*-algebras with torsion $K_{0}$

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive combinations of projections in von Neumann algebras and purely infinite simple \(C^*\)-algebras
• Projection decomposition in multiplier algebras
• Strong sums of projections in von Neumann factors
• Any Hermitian matrix is a linear combination of four projections
• Sommes de commutateurs dans les algèbres de von Neumann finies continues
• Type decomposition for von Neumann algebra embeddings
• The commutation theorem for tensor products over von Neumann algebras
• Decomposition of a scalar matrix into a sum of orthogonal projections
• Ellipsoidal tight frames and projection decompositions of operators
• Commutator structure of operator ideals
• Sums of orthogonal projections
• The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
• Sums of small numbers of idempotents
• Fredholm theories in von Neumann algebras. I
• Commutators and certain II\(_ 1\)-factors
• Fredholm theories in von Neumann algebras. II
• Essential central spectrum and range for elements of a von Neumann algebra
• Finite sums of projections in purely infinite simple C*-algebras with torsion $K_{0}$
• Positive combinations and sums of projections in purely infinite simple 𝐶*-algebras and their multiplier algebras
• Diagonalizing Matrices
• Linear Combinations of Projections in von Neumann Algebras
• Essential Central Range and Selfadjoint Commutators in Properly Infinite von Neumann Algebras
• Unitarily-invariant linear spaces in C*-algebras
• On the linear span of the projections in certain simple C*-algebras
• B(H) lattices, density and arithmetic mean ideals
• ON A CLASS OF OPERATORS IN VON NEUMANN ALGEBRAS WITH SEGAL MEASURE ON THE PROJECTORS
• On sums of projections
• On sums of projections

This page was built for publication: Finite sums of projections in von Neumann algebras