Results 131 to 140 of about 13,431 (178)

Inequalities for Unitarily Invariant Norms

, 2018
T. Tam, Xuhua Liu
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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.
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Interpolated inequalities for unitarily invariant norms

Linear Algebra and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Sababheh
semanticscholar   +3 more sources

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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Improved Young and Heinz operator inequalities for unitarily invariant norms

, 2020
In this paper, we present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish corresponding operator inequalities on a Hilbert space and some new inequalities involving the Hilbert ...
A. Beiranvand, A. Ghazanfari
semanticscholar   +1 more source

Some operator inequalities for unitarily invariant norms

Annals of Functional Analysis, 2017
This note aims to present some operator inequalities for unitarily invariant norms. First, a Zhan-type inequality for unitarily invariant norms is given. Moreover, some operator inequalities for the Cauchy–Schwarz type are also established.
Jianguo Zhao, Junliang Wu
semanticscholar   +3 more sources

Interpolating inequalities for unitarily invariant norms of matrices

Advances in Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad Al-Natoor, O. Hirzallah, F. Kıttaneh   +2 more
semanticscholar   +3 more sources

Interpolating inequalities for unitarily invariant norms and numerical radii of matrices

Quaestiones Mathematicae. Journal of the South African Mathematical Society
In this paper, which is a continuation of our works in [9] and [10], we prove several interpolating inequalities for norms and numerical radii of matrices. Special cases of our results present refinements of some known inequalities.
Ahmad Al-Natoor, O. Hirzallah, F. Kıttaneh   +2 more
semanticscholar   +1 more source

Several unitarily invariant norm inequalities for matrices

Annals of Functional Analysis
This paper presents new inequalities involving unitarily invariant norms of matrices, extending classical results such as the Cauchy-Schwarz and arithmetic-geometric mean inequalities in the matrix setting. The authors build upon and generalize recent work by \textit{K. M. R. Audenaert} [Oper. Matrices 9, No.
Junjian Yang, Shengyan Ma
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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 \
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