Results 281 to 290 of about 20,529 (316)

Norm attaining operators and norming functionals

Proceedings of the American Mathematical Society, 1982
The question of whether a countably additive measure with values in a Banach space attains the diameter of its range was unresolved. In this paper an example is given of a countably additive vector measure, taking values in a C ( K ) C(K) space, for which the diameter of the range is not attained.
Bilyeu, Russell G., Lewis, Paul W.
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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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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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Essential Norms of Composition Operators

Integral Equations and Operator Theory, 2004
Recently, there has been considerable interest in studying lower and upper estimates for the essential norms of composition operators in function spaces. Sometimes, as a consequence, a necessary and sufficient condition for the composition operator to be compact on the function space can be obtained.
Gorkin, Pamela, MacCluer, Barbara D.
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Norm Inequalities for Positive Operators

Letters in Mathematical Physics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhatia, Rajendra, Kittaneh, Fuad
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Induced Operator Norms

1997
State-space characterizations of the H∞ norm for linear time-invariant systems have been obtained for both continuous-time [16] and discretetime systems [52], by considering the connection between the norm bound ‖G‖∞ < γ and the existence of spectral factors of the Hermitian function I−γ−2G~G.
Marc A. Peters, Pablo A. Iglesias
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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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Operator Norms

2023
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An infrared and visible image fusion method based on multi-scale transformation and norm optimization

Information Fusion, 2021
Guofa Li, Xingda Qu
exaly  

Operator Norms

1988
G. R. Belitskii, Yurii I. Lyubich
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