A note on the boundary of the joint numerical range

DOI10.1080/03081087.2017.1326455zbMath1429.15019OpenAlexW2613336460MaRDI QIDQ4640097

Jor-Ting Chan

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1326455

zbMATH Keywords

star-shapedjoint numerical rangejoint essential numerical rangelocal conical pointstar centre

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (4)

Closedness of the orbit-closed C-numerical range and submajorization ⋮ Joint k-numerical ranges of operators ⋮ Closedness of the k-numerical range ⋮ Joint numerical ranges and compressions of powers of operators

Cites Work

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• Boundary points of joint numerical ranges
• On stationary values of Rayleigh quotient of an operator
• The boundary of the numerical range of an operator
• An analogue of the Krein-Milman theorem for star-shaped sets
• Joint ranges of Hermitian matrices and simultaneous diagonalization
• Quantum error correction and generalized numerical ranges
• An observation concerning boundary points of the numerical range
• The joint essential numerical range of operators: convexity and related results
• The Boundary of the Numerical Range
• Convexity of the Joint Numerical Range
• Approximate Proper Vectors
• On the Closure of the Numerical Range of an Operator

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