scientific article; zbMATH DE number 7012602

zbMath1412.15022MaRDI QIDQ4618378

Mohsen Zahraei, Gholamreza Aghamollaei

Publication date: 5 February 2019

Full work available at URL: http://jlta.iauctb.ac.ir/article_510044.html

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zbMATH Keywords

numerical rangeisometryrank-\(k\) numerical rangerectangular matrix polynomials

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Cites Work

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• Birkhoff-James approximate orthogonality sets and numerical ranges
• Multiplicative maps preserving the higher rank numerical ranges and radii
• Completely positive linear maps on complex matrices
• Higher rank numerical ranges of rectangular matrices
• Growth conitions and the numerical range in a Banach algebra
• Numerical Range of Matrix Polynomials
• A definition of numerical range of rectangular matrices
• Geometry of higher-rank numerical ranges
• On the rank-k numerical range of matrices polynomials

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