Results 21 to 30 of about 478,342 (163)
Intersection theory and the Horn inequalities for invariant subspaces [PDF]
, 2015 We provide a direct, intersection theoretic, argument that the Jordan models of an operator of class C_{0}, of its restriction to an invariant subspace, and of its compression to the orthogonal complement, satisfy a multiplicative form of the Horn ...
Bercovici, Hari, Li, Wing Suet
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Operator inequalities via the triangle inequality [PDF]
arXiv, 2022 This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.
arxiv
Journal of Inequalities and Applications, 2017 The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
doaj +1 more source
Euclidean operator radius inequalities of $d$-tuple operators and operator matrices [PDF]
arXiv, 2023 In this paper, we develop several Euclidean operator radius inequalities of $d$-tuple operators, as well as the sum and the product of $d$-tuple operators. Also, we obtain a power inequality for the Euclidean operator radius. Further, we develop Euclidean operator radius inequalities of $2\times 2$ operator matrices whose entries are $d$-tuple ...
arxiv
Generalized Shannon inequalities based on Tsallis relative operator entropy [PDF]
, 2005 Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by T.Furuta \cite{Fu:par} are extended in terms of the parameter of the Tsallis relative operator ...
Furuichi, Shigeru +2 more
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Multiplicative inequalities for weighted arithmetic and harmonic operator means
Acta Universitatis Sapientiae: Mathematica, 2019 In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B.
Dragomir Sever S.
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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AIMS Mathematics, 2022 The theory of convex function has a lot of applications in the field of applied mathematics and engineering. The Caputo-Fabrizio non-singular operator is the most significant operator of fractional theory which permits to generalize the classical theory ...
Muhammad Imran Asjad +3 more
doaj +1 more source
On Further Refinements of Numerical Radius Inequalities
Axioms, 2023 This paper introduces several generalized extensions of some recent numerical radius inequalities of Hilbert space operators. More preciously, these inequalities refine the recent inequalities that were proved in literature.
Ayman Hazaymeh +4 more
doaj +1 more source
Energy inequalities for a model of wave propagation in cold plasma [PDF]
, 2007 Energy inequalities are derived for an elliptic-hyperbolic operator arising in plasma physics. These inequalities imply the existence of distribution and weak solutions to various closed boundary-value problems.
Otway, Thomas H.
core +5 more sources