Results 41 to 50 of about 10,056 (177)

On some inequalities for unitarily invariant norms [PDF]

Journal of Mathematical Inequalities, 2013
In this paper, we present several inequalities for unitarily invariant norms by using the convexity of the function g(r )= A r XB 2−r +A 2−r XB r on the interval (0,2). Our results are refinements of some existing inequalities.
Xiaohui Fu, Chuanjiang He
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Non-commutative Clarkson inequalities for unitarily invariant norms [PDF]

Pacific Journal of Mathematics, 2002
The authors obtain two types of norm inequalities which are extensions of the classical Clarkson inequalities for the Schatten \(p\)-norms in [\textit{C. A. McCarthy}, Isr. J. Math. 5, 249--271 (1967; Zbl 0156.37902)]. The authors show these inequalities by using operator convex and concave functions.
Hirzallah, Omar, Kittaneh, Fuad
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Unitarily invariant norm inequalities for matrix means [PDF]

The Journal of Analysis, 2021
AbstractThe main target of this article is to present several unitarily invariant norm inequalities which are refinements of arithmetic-geometric mean, Heinz and Cauchy-Schwartz inequalities by convexity of some special functions.
Zuo, Hongliang, Jiang, Fazhen
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Some inequalities for unitarily invariant norms [PDF]

Journal of Mathematical Inequalities, 2012
This paper aims to present some inequalities for unitarily invariant norms. In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices. In section 3, we obtain an improvement for the result of Bhatia and Kittaneh (Linear Algebra Appl. 308 (2000) 203-211).
openaire   +1 more source

Operator Monotone Functions and Convexity of Its Derivatives Norms

پژوهش‌های ریاضی, 2021
Introduction  Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni, amir ghasem ghazanfari, Kamal Falahi   +2 more
doaj  

Interpolation unitarily invariant norms inequalities for matrices with applications

AIMS Mathematics
Let $ A_j, B_j, P_j $, and $ Q_j \in M_{n}(\mathbb{C}) $, where $ j = 1, 2, \dots, m $. For a real number $ c \in [0, 1] $, we prove the following interpolation inequality: \begin{document}$ \begin{equation*} {\left\vert\kern-0.1ex\left\vert\kern-0 ...
M. Al-khlyleh, M. A. Aal, M. F. Naser
semanticscholar   +1 more source

Interpolating the Rotfel'd inequality for unitarily invariant norms

Linear Algebra and its Applications, 2019
Let A and B be square matrices of the same order. Uchiyama proved that for all unitarily invariant norms ‖ ⋅ ‖ , ‖ f ( | A + B | ) ‖ ≤ ‖ f ( | A | ) ‖ + ‖ f ( | B | ) ‖ , which extended the Rotfel'd Trace Inequality Tr ( f ( | A + B | ) ) ≤ Tr ( f ( | A |
Yun Zhang
semanticscholar   +1 more source

Systems Thinking for T‐Shaped Sustainability Education: A Viable Systems Approach (vSa)

Systems Research and Behavioral Science, EarlyView.
ABSTRACT Sustainability represents a complex and evolving paradigm calling for competences necessary for a deep understanding of the interdependencies among human, environmental, economic, and cultural dimensions. Along with a review of the literature and an analysis of official guidelines from leading international institutions, this study assesses ...
Marialuisa Saviano, Mario Testa, Adriana Apuzzo, Anna Di Vernieri, Maria Giovanna Corrado   +4 more
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Local Lidskii's theorems for unitarily invariant norms [PDF]

, 2020
Lidskii's additive inequalities (both for eigenvalues and singular values) can be interpreted as an explicit description of global minimizers of functions that are built on unitarily invariant norms, with domains consisting of certain orbits of matrices (
Rios, Noelia Belén, Stojanoff, Demetrio, Massey, Pedro Gustavo   +2 more
core