Supports for minimal Hermitian matrices

DOI10.1016/j.laa.2019.09.018zbMath1429.15033arXiv1906.06417OpenAlexW2975459728MaRDI QIDQ2332449

Alberto Mendoza, Alejandro Varela, Lázaro Recht

Publication date: 4 November 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06417

zbMATH Keywords

geometryflag manifoldsdiagonal matricesminimal Hermitian matrix

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03) Conditioning of matrices (15A12)

Related Items

Constructions of minimal Hermitian matrices related to a C*-subalgebra of 𝑀_{𝑛}(ℂ) ⋮ Minimal elements related to a conditional expectation in a \(\mathrm{C}^\ast\)-algebra ⋮ Moment of a subspace and joint numerical range ⋮ Minimal self-adjoint compact operators, moment of a subspace and joint numerical range

Cites Work

• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves
• A characterization of minimal Hermitian matrices
• Best approximation by diagonal compact operators