The carpenter and Schur-Horn problems for masas in finite factors

zbMath1292.46040arXiv1110.6500MaRDI QIDQ2452324

Junsheng Fang, Roger R. Smith, Kenneth J. Dykema, Donald W. Hadwin

Publication date: 2 June 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6500

zbMATH Keywords

masahyperfinite factorfinite factorSchur-Horn problemcarpenter problemmaximal Abelian self-adjoint subalgebras

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) General theory of von Neumann algebras (46L10)

Related Items

The Schur-Horn theorem for operators with finite spectrum, Numerical Ranges in II₁ Factors, A Measurable Selector in Kadison’s Carpenter’s Theorem, Closed convex hulls of unitary orbits in \({C^{\ast}_{r}(\mathbb{F}_{\infty})}\), THOMPSON\'S THEOREM FOR COMPACT OPERATORS AND DIAGONALS OF UNITARY OPERATORS, Thompson’s theorem for $II_1$ factors, The Schur-Horn Theorem for operators with finite spectrum, Majorisation and the carpenter's theorem

Cites Work

• Majorization and Stochastic maps in von Neumann algebras
• Spectral scale of selfadjoint operators and trace inequalities
• Generalized s-numbers of \(\tau\)-measurable operators
• On rings of operators
• Towards the carpenter’s theorem
• An amenable equivalence relation is generated by a single transformation
• The Pythagorean Theorem: I. The finite case
• The Pythagorean Theorem: II. The infinite discrete case
• A Schur-Horn theorem in II$_1$ factors
• Eigenvalue inequalities in an embeddable factor
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix