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Interpolating inequalities for unitarily invariant norms of matrices
Advances in Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuad Kittaneh, Ahmad Al-Natoor
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SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
Quarterly Journal of Mathematics, 1960L Mirsky
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On some inequalities for unitarily invariant norms and singular values [PDF]
Linear Algebra and Its Applications, 2012 In this note, we improve and generalize some existing inequalities for unitarily invariant norms and singular values, and present some other inequalities for unitarily invariant ...
Limin Zou, Yongfei Wu
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Unitarily Invariant Operator Norms
Canadian Journal of Mathematics, 19831.1. Over the past 15 years there has grown up quite an extensive theory of operator norms related to the numerical radius1of a Hilbert space operator T. Among the many interesting developments, we may mention:(a) C. Berger's proof of the “power inequality”2(b) R. Bouldin's result that3for any isometry V commuting with T;(c) the unification by B.
Fong, C.-K., Holbrook, J. A. R.
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Unitarily invariant norm submultiplicativity
Linear and Multilinear Algebra, 1992In this paper, we view rules for multiplying matrices (such as the Hadamard product, usual product and Kronecker product) as combinatorial objects. Our purpose is to determine conditions on these objects that imply submultiplicativity with respect to the spectral norm and certain of the unitarily invariant norms.
Charles R. Johnson, Peter Nylen
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A note on unitarily invariant matrix norms
Linear Algebra and its Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Wenxuan, Li, Chi-Kwong, Li, Yuqiao
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Unitarily Invariant Norms and Rearrangement
2019In the next chapter, we will discuss some operator norm inequalities for matrix monotone functions and also some functions which are functional inverses of matrix monotone functions.
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On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean
Journal of Applied Mathematics and Physics, 2021Liguang Wang
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Inequalities involving Hadamard products and unitarily invariant norms.
1998Summary: Let \(M_{n,m}\) be the space of \(n\times m\) complex matrices and \(M_n\equiv M_{n,n}\). For Hermitian matrices \(G,H\in M_n\), \(G\geq H\) means that \(G-H\) is positive semidefinite. Denote by \(A\circ B\) the Hadamard product of matrices \(A\) and \(B\).
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