Results 21 to 30 of about 581 (209)
Some results of Heron mean and Young’s inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.
Changsen Yang, Yonghui Ren
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Unitarily Invariant Operator Norms [PDF]
Canadian Journal of Mathematics, 1983 1.1. Over the past 15 years there has grown up quite an extensive theory of operator norms related to the numerical radius1of a Hilbert space operator T. Among the many interesting developments, we may mention:(a) C. Berger's proof of the “power inequality”2(b) R. Bouldin's result that3for any isometry V commuting with T;(c) the unification by B.
C. K. Fong, John Holbrook
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Unitarily invariant norms related to factors [PDF]
, 2007 42 pages, the introduction is rewritten, minor ...
Junsheng Fang, Don Hadwin
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Unitarily invariant norm inequalities for some means [PDF]
Journal of Inequalities and Applications, 2014 We introduce some symmetric homogeneous means, and then show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki. Our new inequalities give the tighter bounds of the logarithmic mean than the inequalities given by Hiai and Kosaki.
Shigeru Furuichi
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Some operator inequalities for unitarily invariant norms [PDF]
Annals of Functional Analysis, 2017 This note aims to present some operator inequalities for unitarily invariant norms. First, a Zhan-type inequality for unitarily invariant norms is given. Moreover, some operator inequalities for the Cauchy–Schwarz type are also established.
Jianguo Zhao, Junliang Wu
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Matrix semigroups determined by unitarily invariant norms
Linear Algebra and its Applications, 1974 AbstractThe purpose of this paper is to study the structure of the matrix semigroups defined by unitarily invariant norms and, equivalently, those defined by arbitrary ellipsoidal norms. Among other things it is found that when an element of such a semigroup has a semi-inverse, the semi-inverse is unique, and, in the case of unitarily invariant norms ...
Webber, Robert P.
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Graph rigidity for unitarily invariant matrix norms [PDF]
, 2020 A rigidity theory is developed for bar-joint frameworks in linear matrix spaces endowed with a unitarily invariant norm. Analogues of Maxwell's counting criteria are obtained and minimally rigid matrix frameworks are shown to belong to the matroidal ...
Derek Kitson, Rupert H. Levene
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Faces of the unit ball of a unitarily invariant norm
Linear Algebra and its Applications, 1994 See the review of the author's paper [ibid. 197-198, 429-450 (1994; Zbl 0808.15015)].
de Sá, Eduardo Marques
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Further Refinements of Zhan's Inequality for Unitarily Invariant Norms [PDF]
Annals of Functional Analysis, 2015 Hongliang Zuo, Masatoshi Fujii
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On some variational problems in the theory of unitarily invariant norms and Hadamard products
, 2001 We deal with two recent conjectures of R.-C. Li [Linear Algebra Appl. 278 (1998) 317–326], involving unitarily invariant norms and Hadamard products.
Mario Romeo, Paolo Tilli
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