Commutator inequalities associated with the polar decomposition

DOI10.1090/S0002-9939-01-06197-4zbMath0992.15020MaRDI QIDQ2781284

Fuad Kittaneh

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

polar decompositioncommutatorunitarily invariant norm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Commutativity of matrices (15A27) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (19)

Scalar approximants of quadratic operators with applications ⋮ Some improvements of numerical radius inequalities of operators and operator matrices ⋮ Notes on some spectral radius and numerical radius inequalities ⋮ Unitarily invariant norm inequalities for operators ⋮ Singular value and norm inequalities involving the numerical radii of matrices ⋮ On some matrix inequalities. ⋮ Bounds of numerical radius of bounded linear operators using t-Aluthge transform ⋮ Unnamed Item ⋮ Numerical radius inequalities for finite sums of operators ⋮ A characterization of maximum norms of commutators of positive contractions ⋮ Norm inequalities for the absolute value of Hilbert space operators ⋮ Norms of commutators of self-adjoint operators ⋮ Commutator inequalities associated with polar decompositions of \(\tau\)-measurable operators ⋮ Inequalities for commutators of positive operators ⋮ Norm inequalities for sums and differences of positive operators ⋮ On some numerical radius inequalities involving generalized Aluthge transform ⋮ Bounds for the zeros of polynomials from matrix inequalities – II ⋮ Frobenius norm inequalities of commutators based on different products ⋮ On some inequalities of τ-measurable operators

Cites Work

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• Norm estimates related to self-commutators
• On some perturbation inequalities for operators
• A note on the arithmetic-geometric-mean inequality for matrices
• Notes on matrix arithmetic-geometric mean inequalities
• Matrix Young inequalities for the Hilbert-Schmidt norm
• On the Singular Values of a Product of Operators
• Matrix Analysis
• On some operator inequalities
• Norm inequalities for certain operator sums

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