Results 21 to 30 of about 10,056 (177)

Matrix semigroups determined by unitarily invariant norms

Linear Algebra and its Applications, 1974
AbstractThe purpose of this paper is to study the structure of the matrix semigroups defined by unitarily invariant norms and, equivalently, those defined by arbitrary ellipsoidal norms. Among other things it is found that when an element of such a semigroup has a semi-inverse, the semi-inverse is unique, and, in the case of unitarily invariant norms ...
Webber, Robert P.
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Monotonicity of unitarily invariant norms

Linear Algebra and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xue-Feng, Li, Ren-Cang
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Further Operator and Norm Versions of Young Type Inequalities [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this note, first the better refinements of Young and its reverse inequalities for scalars are given. Then, several operator and norm versions according to these inequalities are established.
Leila Nasiri, Mehdi Shams
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Two inequalities of unitarily invariant norms for matrices [PDF]

ScienceAsia, 2019
Xuesha Wu
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Inequalities for unitarily invariant norms [PDF]

Journal of Mathematical Inequalities, 2012
Limin Zou, Youyi Jiang
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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.
Yang, Junjian, Ma, Shengyan
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A class of unitarily invariant norms on 𝐵(𝐻) [PDF]

Proceedings of the American Mathematical Society, 2000
Let H H be a complex Hilbert space and let
Chan, JT, Tu, CCN, Li, CK
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Maps preserving unitarily invariant norms of Jordan product of matrices

Journal of Mathematical Analysis and Applications, 2017
Bojan Kuzma, Tatjana Petek
exaly   +2 more sources

New perturbation bounds in unitarily invariant norms for subunitary polar factors

, 2018
Let $A\in\mathbb{C}^{m \times n}$ have generalized polar decomposition $A = QH$ with $Q$ subunitary and $H$ positive semidefinite. Absolute and relative perturbation bounds are derived for the subunitary polar factor $Q$ in unitarily invariant norms and ...
Lei Zhu, Wei-wei Xu, Hao Liu, Li-juan Ma
semanticscholar   +2 more sources

Inequalities for partial determinants of accretive block matrices

Journal of Inequalities and Applications, 2023
Let A = [ A i , j ] i , j = 1 m ∈ M m ( M n ) $A=[A_{i,j}]^{m}_{i,j=1}\in \mathbf{M}_{m}(\mathbf{M}_{n})$ be an accretive block matrix. We write det1 and det2 for the first and second partial determinants, respectively.
Xiaohui Fu, Lihong Hu, Abdul Haseeb Salarzay   +2 more
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