Results 271 to 280 of about 25,259 (306)

Unitarily Invariant Operator Norms

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.
Fong, C.-K., Holbrook, J. A. R.
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Continuity of the Norm of a Composition Operator

Integral Equations and Operator Theory, 2003
Let \(ASM({\mathbb{D}})^1\) (respectively, \(ASM({\mathbb{D}})^\infty\)) denote the set of all analytic self-maps of the unit disc, considered as a subset of \(H^1\) (respectively, \(H^\infty \)). Let \(N_i: ASM({\mathbb{D}})^i \to {\mathbb{R}}\) (\(i=1, \infty \)) be given by \(N_i(\varphi )= \| C_\varphi \|\), where \(C_\varphi \) is the composition ...
Pokorny, David B., Shapiro, Jonathan E.
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A multiplication operation for the hierarchy of norms

Annals of Pure and Applied Logic, 2018
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Block, A.C., Löwe, B.
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The Norms of Compositions of Arithmetic Operators

Bulletin of the London Mathematical Society, 1987
Weighted inequalities which widely generalize the Turán-Kubilius inequality are established. The following is typical: Let w(m) be a non- negative real-valued arithmetic function which satisfies w(q) \(\ll 1\), w(qm) \(\ll w(q)w(m)\) uniformly for prime-powers q and positive integers m, \((q,m)=1\).
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A Norm Inequality for Hermitian Operators

The American Mathematical Monthly, 2003
(2003). A Norm Inequality for Hermitian Operators. The American Mathematical Monthly: Vol. 110, No. 3, pp. 238-239.
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Norm Inequalities for Positive Operators

Letters in Mathematical Physics, 1998
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Bhatia, Rajendra, Kittaneh, Fuad
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Norm Aggregations and OWA Operators

2013
The ordered weighted average (OWA) is an aggregation operator that provides a parameterized family of aggregation operators between the minimum and the maximum. This paper studies the use of the OWA operator with norms. Several extensions and generalizations are suggested including the use of the induced OWA operator and the OWA weighted average.
José M. Merigó, Ronald R. Yager
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Norms and Essential Norms of Differences of Weighted Composition Operators

Mediterranean Journal of Mathematics, 2022
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Operator Norm Limits of Order Continuous Operators

Positivity, 2005
Let \(X\) and \(Y\) be Banach lattices, and denote by \({\mathcal L}^b(X, Y)\) the space of order bounded linear operators from \(X\) into \(Y\) equipped with the order bound norm, a norm introduced by the second author [in: Functional analysis and economic theory, Samos, Greece, July 1996, 109--118 (1998; Zbl 0912.47018)]. Moreover, let \({\mathcal L}^
Wickstead, Anthony, Kitover, A.K.
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Some Norm Inequalities for Operators

Canadian Mathematical Bulletin, 1999
AbstractLet Ai , Bi and Xi (i = 1, 2,…,n) be operators on a separable Hilbert space. It is shown that if f and g are nonnegative continuous functions on [0, ∞) which satisfy the relation f(t)g(t) = t for all t in [0, ∞), thenfor every r > 0 and for every unitarily invariant norm. This result improves some known Cauchy-Schwarz type inequalities. Norm
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