Results 11 to 20 of about 349,949 (184)
New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant
Special Matrices, 2023 Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
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Bell's inequality with Dirac particles [PDF]
, 2012 We study Bell's inequality using the Bell states constructed from four component Dirac spinors. Spin operator is related to the Pauli-Lubanski pseudo vector which is relativistic invariant operator.
A. Peres +10 more
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Some inequalities for operator monotone functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
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INEQUALITIES CONCERNING B-OPERATORS
Issues of Analysis, 2016 Summary: Let \(\mathcal{P}_{n}\) be the class of polynomials of degree at most \(n\). Rahman introduced the class \(\mathcal {B}_{n}\) of operators \(B\) that map \(\mathcal {P}_{n}\) into itself. In this paper we prove some results concerning such operators and thereby obtain generalizations of some well known polynomial inequalities.
WALI S.L., SHAH W.M., LIMAN A.
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A Grüss type operator inequality [PDF]
Annals of Functional Analysis, 2017 In [P. Renaud, "A matrix formulation of Gr\"uss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional. In this article, we give a refinement of such result and we answer positively the Renaud's open problem.
Bottazzi, T., Conde, C.
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Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
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International Journal of Mathematics and Mathematical Sciences, 1984 An inequality is proved in abstract separable Hilbert space H where A and B are bounded self-adjoint positive operators defined in H such that R(A)=R(B) and R(A) is closed.
P. D. Siafarikas
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Correlation Inequalities for Schrödinger Operators [PDF]
Mathematical Physics, Analysis and Geometry, 2020 This paper analyzes Sch dinger operators from viewpoint of correlation inequalities. We construct Griffiths inequalities for the ground state expectations by applying operator-theoretic correlation inequalities. As an example of such an application, we analyze the momentum distribution, i.e., the Fourier transform of the ground state density.
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Norm inequalities related to the Heron and Heinz means [PDF]
, 2017 In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the ...
Conde, C. +4 more
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Some operator inequalities via convexity [PDF]
Linear and Multilinear Algebra, 2021 In this article, we employ a standard convex argument to obtain new and refined inequalities related to the matrix mean of two accretive matrices, the numerical radius and the Tsallis relative operator entropy.
Hamid Reza Moradi +2 more
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