The Schur-Horn theorem for operators with finite spectrum

DOI10.1090/S0002-9939-2014-12114-9zbMath1311.46054arXiv1111.3833OpenAlexW2145680838MaRDI QIDQ3190327

Mohan Ravichandran, B. V. Rajarama Bhat

Publication date: 16 September 2014

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

Full work available at URL: https://arxiv.org/abs/1111.3833

zbMATH Keywords

Schur-Horn theoremcarpenter problem\( II_1\) factors

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10)

Related Items (9)

The Schur–Horn problem for normal operators ⋮ A Measurable Selector in Kadison’s Carpenter’s Theorem ⋮ Closed convex hulls of unitary orbits in \({C^{\ast}_{r}(\mathbb{F}_{\infty})}\) ⋮ Multivariable Schur–Horn theorems ⋮ Majorization and a Schur-Horn theorem for positive compact operators, the nonzero kernel case ⋮ THOMPSON\'S THEOREM FOR COMPACT OPERATORS AND DIAGONALS OF UNITARY OPERATORS ⋮ Diagonals of operators and Blaschke’s enigma ⋮ Thompson’s theorem for $II_1$ factors ⋮ The Schur-Horn Theorem for operators with finite spectrum

Cites Work

• Majorization and Stochastic maps in von Neumann algebras
• On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
• Generalized s-numbers of \(\tau\)-measurable operators
• The carpenter and Schur-Horn problems for masas in finite factors
• Conditional expectations in von Neumann algebras
• Conditional expectations onto maximal abelian *-subalgebras
• Lyapunov theorems for operator algebras
• The Pythagorean Theorem: II. The infinite discrete case
• A Schur-Horn theorem in II$_1$ factors
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