Results 31 to 40 of about 10,743 (170)
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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A class of unitarily invariant norms on đľ(đť) [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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Information preserving structures: A general framework for quantum zero-error information [PDF]
, 2010 Quantum systems carry information. Quantum theory supports at least two distinct kinds of information (classical and quantum), and a variety of different ways to encode and preserve information in physical systems. A system's ability to carry information
A. Granas +16 more
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Submultiplicativity vs subadditivity for unitarily invariant norms
Linear Algebra and its Applications, 2004 The authors prove that if \(A\) and \(B\) are two \(n\)-by-\(n\) nonzero positive semidefinite matrices and \(\|\cdot\|\) is a unitarily invariant norm on matrices satisfying \(\|\text{diag}(1,0,\dots, 0)\|\geq 1\), then the inequalities \[ {\| AB\|\over\| A\|\,\| B\|}\leq {\| A+ B\|\over\| A\|+\| B\|}\quad\text{and}\quad {\| A\circ B\|\over \| A\|\,\|
Hiai, Fumio, Zhan, Xingzhi
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Norm inequalities related to the Heron and Heinz means [PDF]
, 2017 In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the ...
Conde, C. +4 more
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Unitarily invariant norm inequalities for operators
Journal of the Egyptian Mathematical Society, 2012 10 pages, Accepted ...
Erfanian Omidvar, M. +2 more
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Recent progress on truncated Toeplitz operators [PDF]
, 2012 This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason's seminal paper in 2007.Comment: 46 ...
Garcia, Stephan Ramon, Ross, William T.
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Volume ratio, sparsity, and minimaxity under unitarily invariant norms [PDF]
2013 IEEE International Symposium on Information Theory, 2013 The current paper presents a novel machinery for studying non-asymptotic minimax estimation of high-dimensional matrices, which yields tight minimax rates for a large collection of loss functions in a variety of problems. Based on the convex geometry of finite-dimensional Banach spaces, we first develop a volume ratio approach for determining minimax ...
Ma, Zongming, Wu, Yihong
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Strongly self-absorbing C*-dynamical systems, III [PDF]
, 2017 The work presented in this paper has benefited from a visit to the Department of Mathematics at the University of Kyoto in January 2016, and I would like to express my gratitude to Masaki Izumi for the hospitality and support.
Barlak +30 more
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Some remarks on the GNS representations of topological $^*$-algebras [PDF]
, 2008 After an appropriate restatement of the GNS construction for topological $^*$-algebras we prove that there exists an isomorphism among the set $\cycl(A)$ of weakly continuous strongly cyclic $^*$-representations of a barreled dual-separable $^*$-algebra ...
Belanger A. +3 more
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