Inequalities for the Kronecker product of matrices

DOI10.1007/s43034-022-00191-8OpenAlexW4283268147WikidataQ114216207 ScholiaQ114216207MaRDI QIDQ2150322

Fuad Kittaneh, Djihad Gueridi

Publication date: 27 June 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-022-00191-8

zbMATH Keywords

normspectral radiusinequalityKronecker productKronecker sumcommutatornumerical radiuspositive semidefinite matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Miscellaneous inequalities involving matrices (15A45) Tensor products of linear operators (47A80)

Cites Work

• On the Kronecker products and their applications
• The Kronecker product and stochastic automata networks
• Numerical ranges of products and tensor products
• The ubiquitous Kronecker product
• Norm inequalities for sums and differences of positive operators
• Numerical radii for tensor products of operators
• Norm inequalities for commutators of positive operators and applications
• A numerical radius inequality involving the generalized Aluthge transform
• On the Singular Values of a Product of Operators
• Frobenius norm inequalities of commutators based on different products
• Matrix theory. Basic results and techniques
• Norm inequalities for certain operator sums
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