Results 11 to 20 of about 1,934,847 (269)
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some new inequalities for commutators that complement and in some instances improve recent results obtained by F. Kittaneh in 'Inequalities for commutators of positive operators' (2007) and 'Norm inequalities for commutators of Hilbert space operators ...
Dragomir, Sever S
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On Some Inequalities of Symmetric Means and Mixed Means [PDF]
, 2005 We improve some inequalities involving the symmetric means.
Gao, Peng
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Weighted inequalities of Hardy type for matrix operators: The case q<p
, 2007 A non-negative triangular matrix operator is considered in weighted Lebesgue spaces ofsequences. Under some additional conditions on the matrix, some new weight characterizationsfor discrete Hardy type inequalities with matrix operator are proved for the
Oinarov, R. +2 more
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New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
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Vector Inequalities for Powers of Some Operators in Hilbert Spaces [PDF]
, 2008 Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S
core +7 more sources
On matrix rearrangement inequalities
Proceedings of the American Mathematical Society, 2020 Given two symmetric and positive semidefinite square matrices A , B A, B
Alaifari, Rima +3 more
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Matrix rearrangement inequalities revisited [PDF]
Mathematical Inequalities & Applications, 2021 Let $||X||_p=\text{Tr}[(X^\ast X)^{p/2}]^{1/p}$ denote the $p$-Schatten norm of a matrix $X\in M_{n\times n}(\mathbb{C})$, and $σ(X)$ the singular values with $\uparrow$ $\downarrow$ indicating its increasing or decreasing rearrangements. We wish to examine inequalities between $||A+B||_p^p+||A-B||_p^p$, $||σ_\downarrow(A)+σ_\downarrow(B)||_p^p+||σ_ ...
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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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Journal of Mathematical Analysis and Applications, 2001 The matrix trace inequality for positive semidefinite matrices \(A,B\in \mathbb{C}^{n\times n}\), \[ \text{tr} (AB)^m\leq\bigl\{ \text{tr} (A)^{2m}\text{tr}(B)^{2m}\bigr\}^{1/2}, \] where \(m\) is an integer, is established. The above inequality improves the result given by \textit{X. Yang} [J. Math. Anal. Appl. 250, No.
Min Yang, Xin +2 more
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Matrix inequalities in statistical mechanics
Linear Algebra and its Applications, 2004 The main results of this paper are a straightforward proof of the thermodynamic inequality and a derivation of the equivalence of this inequality to the Peierls-Bogolyubov inequality.
Bebiano, N. +2 more
openaire +4 more sources