Study of eigenvalues of some matrices via dilations

DOI10.1007/s00025-023-01981-9zbMath1523.15007OpenAlexW4386204115MaRDI QIDQ6052393

Anju Rani, Yogesh Kapil, Mandeep Singh Rawla

Publication date: 21 September 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01981-9

zbMATH Keywords

dilation theoryeigenvalue inequalitiescontractive and expansive matrixinertia of Hermitian matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

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• The off-diagonal block of a PPT matrix
• Some inequalities for unitarily invariant norm
• Inequalities for some operator and matrix functions
• Means of positive linear operators
• More results on singular value inequalities of matrices
• Hiroshima’s theorem and matrix norm inequalities
• A new class of operator monotone functions via operator means
• On the Singular Values of a Product of Operators
• Matrix theory. Basic results and techniques

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