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A Perturbative Approach to the Solution of the Thirring Quantum Cellular Automaton. [PDF]

Entropy (Basel)
Bisio A, Perinotti P, Pizzamiglio A, Rota S.   +3 more
europepmc   +1 more source

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Inequalities for Unitarily Invariant Norms

SIAM Journal on Matrix Analysis and Applications, 1998
Let \(A,B,X\) be complex matrices with \(A,B\) positive semidefinite. The author proves the following generalization of the arithmetic-mean inequality due to \textit{R. Bhatia} and \textit{C. Davis} [ibid. 14, No. 1, 132-136 (1993; Zbl 0767.15012]: \[ (2+t)\| A^rXB^{2-r}+A^{2-r}XB^r\| \leq 2\| A^2X+tAXB+XB^2\| \] for arbitrary unitarily invariant norm \
Xingzhi Zhan
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Unitarily invariant norms on dual quaternion matrices

Pacific Journal of Optimization
Summary: Dual quaternion matrices have recently received significant attention in research. In this paper, we primarily investigate unitarily invariant norms of dual quaternion matrices. We first introduce symmetric gauge function on dual numbers and establish a one-to-one correspondence between unitarily invariant norms of dual quaternion matrices and
Chen, Sheng, Hu, Haofei
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Interpolating inequalities for unitarily invariant norms of matrices

Advances in Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuad Kittaneh, Ahmad Al-Natoor
exaly   +3 more sources

Unitarily Invariant Operator Norms

Canadian Journal of Mathematics, 1983
1.1. 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.
openaire   +1 more source

A Mirsky-Type Unitarily Invariant Norm Inequality for Dual Quaternion Matrices and Its Applications

Symmetry
In this paper, we present a Mirsky-type unitarily invariant norm inequality for dual quaternion matrices, which can be regarded as a singular value perturbation theorem for dual quaternion matrices.
Ping Zhong, Jin Zhong
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Unitarily invariant norm submultiplicativity

Linear and Multilinear Algebra, 1992
In 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, 2020
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Ding, Wenxuan, Li, Chi-Kwong, Li, Yuqiao
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Unitarily Invariant Norms and Rearrangement

2019
In 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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Further unitarily invariant norm inequalities for positive semidefinite matrices

Positivity, 2022
Fuad Kittaneh, Ahmad Al-Natoor
exaly