Results 261 to 270 of about 25,259 (306)

Metric sparsification and operator norm localization

Advances in Mathematics, 2008
We study an operator norm localization property and its applications to the coarse Novikov conjecture in operator K-theory. In particular, we introduce a sufficient geometric condition (called metric sparsification) for the operator norm localization ...
Xiaoman Chen, Xianjin Wang, Guoliang Yu   +2 more
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

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.
openaire   +2 more sources

On the norm of an integral operator and applications

Journal of Mathematical Analysis and Applications, 2006
In this paper, the norm of an integral operator T:Lr(0,∞)→Lr(0,∞) (r>1) is obtained. As applications, a new bilinear integral operator inequality with the norm and the equivalent forms are given, and some new Hilbert's type inequalities with the best ...
Bicheng Yang
exaly   +2 more sources

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
openaire   +3 more sources

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
openaire   +2 more sources

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.
openaire   +1 more source

Remarks on the Operator-Norm Convergence of the Trotter Product Formula

Integral Equations and Operator Theory, 2018
12 pagesInternational audienceWe revise the operator-norm convergence of the Trotter product formula for a pair {A,B} of generators of semigroups on a Banach space. Operator-norm convergence holds true if the dominating operator A generates a holomorphic
Hagen Neidhardt, Artur Stephan, Valentin A Zagrebnov   +2 more
exaly   +2 more sources

Operator norm localization property of relative hyperbolic group and graph of groups

Journal of Functional Analysis, 2008
In this article we study the spaces which have operator norm localization property. We prove that a finitely generated group Γ which is strongly hyperbolic with respect to a collection of finitely generated subgroups {H1,…,Hn} has operator norm ...
Xiaoman Chen, Xianjin Wang
exaly   +2 more sources

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
openaire   +1 more source