Results 31 to 40 of about 579,350 (178)
Schur-multiplicative maps preserving unitarily invariant norms [PDF]
, 2008 Characterizations are obtained for maps on real or complex matrices which preserve both the Schur (Hadamard) product and a given unitarily invariant ...
Poon, Edward
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On some inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2013 In this paper, we present several inequalities for unitarily invariant norms by using the convexity of the function g(r )= A r XB 2−r +A 2−r XB r on the interval (0,2). Our results are refinements of some existing inequalities.
Xiaohui Fu, Chuanjiang He
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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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The interpolation of Young’s inequality using dyadics
Journal of Inequalities and Applications, 2019 In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
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Monotonicity of unitarily invariant norms
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xue-Feng, Li, Ren-Cang
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Consistency of the total least squares estimator in the linear errors-in-variables regression
Modern Stochastics: Theory and Applications, 2018 This paper deals with a homoskedastic errors-in-variables linear regression model and properties of the total least squares (TLS) estimator. We partly revise the consistency results for the TLS estimator previously obtained by the author [18]. We present
Sergiy Shklyar
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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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On weakly unitarily invariant norm and the λ-Aluthge transformation for invertible operator [PDF]
, 2006 Let T∈B(H) be an invertible operator with polar decomposition T=UP and B∈B(H) commute with T. In this paper we prove that ∣∣∣PλBUP1−λ∣∣∣⩽∣∣∣BT∣∣∣, where ∣∣∣·∣∣∣ is a weakly unitarily invariant norm on B(H) and 0⩽λ⩽1. As the consequence of this result, we
Okubo, Kazuyoshi
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Characterization of unitary operators by elementary operators and unitarily invariant norms [PDF]
, 2012 In this work we characterize unitary operators via inequalities of elementary operators with unitarily invariant norms.Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Conde, Cristian Marcelo, Cristian Conde
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Non-commutative Clarkson inequalities for unitarily invariant norms [PDF]
Pacific Journal of Mathematics, 2002 The authors obtain two types of norm inequalities which are extensions of the classical Clarkson inequalities for the Schatten \(p\)-norms in [\textit{C. A. McCarthy}, Isr. J. Math. 5, 249--271 (1967; Zbl 0156.37902)]. The authors show these inequalities by using operator convex and concave functions.
Hirzallah, Omar, Kittaneh, Fuad
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