Minimal self-adjoint compact operators, moment of a subspace and joint numerical range

DOI10.1016/j.jmaa.2023.127552arXiv2303.04128MaRDI QIDQ6136379

Tamara Bottazzi, Alejandro Varela

Publication date: 29 August 2023

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

Full work available at URL: https://arxiv.org/abs/2303.04128

zbMATH Keywords

minimalityjoint numerical rangemoment of subspaceself-adjoint compact operators

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Basic linear algebra (15Axx) General theory of linear operators (47Axx)

Cites Work

• Unnamed Item
• A study of orthogonality of bounded linear operators
• Convexity of the joint numerical range: Topological and differential geometric viewpoints.
• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves
• Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov
• Minimal Hermitian compact operators related to a \(\mathrm{C}^\ast\)-subalgebra of \(K(H)\)
• Supports for minimal Hermitian matrices
• Best approximation by diagonal compact operators
• Minimal elements related to a conditional expectation in a \(\mathrm{C}^\ast\)-algebra
• Bloch vectors for qudits
• Convexity of the Joint Numerical Range