Results 21 to 30 of about 13,431 (178)
Some inequalities for unitarily invariant norms [PDF]
Operators and Matrices, 2014 In this note, we use the convexity of the function φ(v) to sharpen the matrix version of the Heinz means, where φ(v) is defined as φ(v) = ‖AvXB1−v + A1−vXBv‖ on [0,1] for A,B,X ∈ Mn such that A and B are positive semidefinite, and also give a refinement of the inequality [Theorem 6, SIAM J. Matrix Anal. Appl.
Junliang Wu, Jianguo Zhao
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Isometries for unitarily invariant norms
Linear Algebra and its Applications, 2005 After a brief survey of results and proof techniques in the study of isometries for unitarily invariant norms on real and complex rectangular matrices, the paper presents a characterization of a class of linear isometries without the linearity assumption.
Chan, JT, Sze, NS, Li, CK
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Two inequalities of unitarily invariant norms for matrices [PDF]
ScienceAsia, 2019 Xuesha Wu
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Heinz均值凸性的一个注记(A note on the convexity of the Heinz means)
Zhejiang Daxue xuebao. Lixue ban, 2013 Recently, KITTANEH obtained an improvement of the Heinz inequality for all unitarily invariant norms. In this note, we obtain a refinement of KITTANEH's result. We shall conclude this paper with some numerical examples.
ZOULi-min(邹黎敏)
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Some inequalities involving unitarily invariant norms [PDF]
Mathematical Inequalities & Applications, 2012 This paper aims to present some inequalities for unitarily invariant norms. We first give inverses of Young and Heinz type inequalities for scalars. Then we use these inequalities to establish some inequalities for unitarily invariant norms. Mathematics subject classification (2010): 15A45, 15A60.
Chuanjiang He, Limin Zou
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, 2020 An inequality for matrices that interpolates between the Cauchy-Schwarz and the arithmetic-geometric mean inequalities for unitarily invariant norms has been obtained by Audenaert. Alakhrass obtained a related result to Audenaert’s inequality using a log-
M. Al-khlyleh, Fadi Alrimawi
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Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Abstract and Applied Analysis, 2015 Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
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Generalized Induced Norms [PDF]
, 2004 Let ||.|| be a norm on the algebra M_n of all n-by-n matrices over the complex field C. An interesting problem in matrix theory is that "are there two norms ||.||_1 and ||.||_2 on C^n such that ||A||=max{||Ax||_2: ||x||_1=1} for all A in M_n.
C.-K. Li +7 more
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A class of unitarily invariant norms on 𝐵(𝐻) [PDF]
Proceedings of the American Mathematical Society, 2000 Let H H be a complex Hilbert space and let B ( H ) B(H) be the algebra of all bounded linear operators on H H . For c = ( c 1 , … , c k
Chan, JT, Tu, CCN, Li, CK
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Frustration, interaction strength and ground-state entanglement in complex quantum systems [PDF]
, 2004 Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian.
C. Davis +6 more
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