Singular value inequalities for compact operators

DOI10.1016/j.laa.2012.06.032zbMath1263.47018OpenAlexW2027687268MaRDI QIDQ1758455

Fuad Kittaneh, Wasim Audeh

Publication date: 9 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.06.032

zbMATH Keywords

inequalityself-adjoint operatorcompact operatorpositive operatorsingular valuearithmetic-geometric mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (22)

Singular value inequalities for operators and matrices ⋮ Exponential Tikhonov Regularization Method for Solving an Inverse Source Problem of Time Fractional Diffusion Equation ⋮ The spectral spread of Hermitian matrices ⋮ Singular value inequalities for accretive-dissipative normal operators ⋮ Generalizations for singular value and arithmetic-geometric mean inequalities of operators ⋮ Singular values inequalities via matrix monotone functions ⋮ Determination of a spacewise-dependent heat source by a logarithmic-type regularization method ⋮ Norm inequalities for the spectral spread of Hermitian operators ⋮ On generalized singular number of positive matrix of τ measurable operators ⋮ Diagonal and off-diagonal blocks of positive definite partitioned matrices ⋮ Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation ⋮ New orders among Hilbert space operators ⋮ On Schatten restricted norms ⋮ Some generalizations for singular value inequalities of compact operators ⋮ Numerical radius inequalities for finite sums of operators ⋮ Singular value and unitarily invariant norm inequalities for sums and products of operators ⋮ Generalizations for singular value inequalities of operators ⋮ Singular value and norm inequalities of Davidson-Power type ⋮ An arithmetic-geometric mean inequality for singular values and its applications ⋮ Singular value inequalities and applications ⋮ A characterization on singular value inequalities of matrices ⋮ Singular value inequalities for Hilbert space operators

Cites Work

• Inequalities for sums and direct sums of Hilbert space operators
• The matrix arithmetic-geometric mean inequality revisited
• More results on singular value inequalities of matrices
• Singular Values of Differences of Positive Semidefinite Matrices
• On the Singular Values of a Product of Operators
• Some Norm Inequalities for Operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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