Results 21 to 30 of about 783,766 (273)
Inequalities for the Schatten p-norm II [PDF]
Glasgow Mathematical Journal, 1986 This paper is a continuation of [3] in which some inequalities for the Schatten p-norm were considered. The purpose of the present paper is to improve some inequalities in [3] as well as to give more inequalities in the same spirit.Let H be a separable, infinite dimensional complex Hilbert space, and let B(H) denote the algebra of all bounded linear ...
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Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
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The Pólya-Szegö Principle and the Anisotropic Convex Lorentz-Sobolev Inequality
The Scientific World Journal, 2014 An anisotropic convex Lorentz-Sobolev inequality is established, which extends Ludwig, Xiao, and Zhang’s result to any norm from Euclidean norm, and the geometric analogue of this inequality is given.
Shuai Liu, Binwu He
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Numerical Radius Inequalities for Finite Sums of Operators
Demonstratio Mathematica, 2014 In this paper, we obtain some sharp inequalities for numerical radius of finite sums of operators. Moreover, we give some applications of our result in estimation of spectral radius. We also compare our results with some known results.
Mirmostafaee Alireza Kamel +2 more
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Norm inequalities for operators related to the Cauchy-Schwarz and Heinz inequalities
Journal of Inequalities and Applications, 2016 We present some refinements of the Cauchy-Schwarz and Heinz inequalities for operators by utilizing a refinement of the Hermite-Hadamard inequality.
Jianguo Zhao +3 more
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Higher Integrability of the Composite Operator T D G for Differential Forms
Journal of Harbin University of Science and Technology, 2023 We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the ...
ZHAO Pengfei, BI Shujuan, LIU Zhenjie
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A Norm Inequality for Linear Transformations [PDF]
Canadian Mathematical Bulletin, 1961 In 1949 Ky Fan [1] proved the following result: Let λ1…λn be the eigenvalues of an Hermitian operator H on an n-dimensional vector space Vn.
Moyls, B. N., Khan, N. A.
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Inequalities for $$L^p$$-Norms that Sharpen the Triangle Inequality and Complement Hanner’s Inequality [PDF]
The Journal of Geometric Analysis, 2020 AbstractIn 2006 Carbery raised a question about an improvement on the naïve norm inequality $$\Vert f+g\Vert _p^p \le 2^{p-1}(\Vert f\Vert _p^p + \Vert g\Vert _p^p)$$ ‖ f + g
Eric A. Carlen +3 more
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Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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Hardy Inequalities with Mixed Norms [PDF]
Canadian Mathematical Bulletin, 1978 We give a necessary and sufficient condition on weight functions u and v such that for l≤p≤q≤∞ there exists a constant C for whichA corresponding dual result is also given. This extends a result of B. Muckenhoupt which appeared in Studia Math., 34 (1972).
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