Results 241 to 250 of about 770,686 (284)

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
Bilyeu, Russell G., Lewis, Paul W.
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ON THE NORM OF ELEMENTARY OPERATORS

Journal of the London Mathematical Society, 2004
The norm problem is considered for elementary operators of the form \(U_{a,b}:\mathcal{A}\to\mathcal{A}\), \(x\mapsto axb+bxa\) \((a,b\in\mathcal{A})\) in the special case when \(\mathcal{A}\) is a subalgebra of the algebra of bounded operators on a Banach space.
Blanco, Ariel, Boumazgour, M., Ransford, T.J.   +2 more
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Norm-Observable Operator Models

Neural Computation, 2010
Hidden Markov models (HMMs) are one of the most popular and successful statistical models for time series. Observable operator models (OOMs) are generalizations of HMMs that exhibit several attractive advantages. In particular, a variety of highly efficient, constructive, and asymptotically correct learning algorithms are available for OOMs.
Ming-Jie Zhao 0001, Herbert Jaeger
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The norm of the Fourier series operator

2015 IEEE International Symposium on Information Theory (ISIT), 2015
We describe the norm of Fourier operator from Lp(T) to lq(ℤ), and from lp(ℤ) to Lq(T) for all p, q ≥ 1, motivated by the problem of finding sharp uncertainty principles expressed in terms of Renyi entropies.
Peng Xu, Mokshay M. Madiman
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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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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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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.
openaire   +1 more source

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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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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Norm Inequalities for Positive Operators

Letters in Mathematical Physics, 1998
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Bhatia, Rajendra, Kittaneh, Fuad
openaire   +2 more sources