Results 251 to 260 of about 993,059 (280)

On the “function” and “lattice” definitions of a narrow operator

Positivity, 2017
Let \(E\) be a Köthe Banach space on a finite atomless measure space \((\Omega , \Sigma , \mu )\), \(X\) be a Banach space. A bounded linear operator \(T : E \to X\) is called {\parindent=6mm \begin{itemize}\item[--] function narrow if, for every \(\varepsilon > 0\) and every \(A \in \Sigma\), there is a decomposition of \(A\) into a disjoint union of ...
Mikhail Popov
exaly   +3 more sources

A lattice approach to narrow operators

Positivity, 2008
The authors extend the notion of a narrow operator to the general case of vector lattice. They prove that the set \(N_{r} (E,F)\) of all narrow regular operators forms a band in the vector lattice \(L_{r} (E,F)\) of all regular operators from a non-atomic order continuous Banach lattice \(E\) to an order continuous Banach lattice \(F\). In view of this
Oleksandr Maslyuchenko
exaly   +3 more sources

On two definitions of a narrow operator on Köthe–Bochner spaces

Archiv Der Mathematik, 2018
Let \((\Omega,\Sigma,\mu)\) be a finite atomless measure space, \(E\) be a Köthe-Banach space over \((\Omega,\Sigma,\mu)\), \(X\) be a Banach space and \(E(X)\) be the corresponding Köthe-Bochner space. Given a Banach space \(Y\), a continuous linear operator \(T : E(X) \to Y\) is called weakly functionally narrow if, for every \(A \in \Sigma\), \(x ...
Marat Pliev, Nariman Abasov
exaly   +2 more sources

Perturbation of a periodic operator by a narrow potential

Theoretical and Mathematical Physics(Russian Federation), 2012
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Gadylshin, R. R., Khusnullin, I. Kh.
exaly   +3 more sources

(Strongly-)Dunford–Pettis Operators and Narrow Operators

Integral Equations and Operator Theory, 2023
The paper is devoted to investigation of ``small'' operators on symmetric spaces over von Neumann algebras and Köthe-Bochner spaces over finite measure spaces. Let ``operator'' mean linear bounded operator. Theorem~3.8 asserts that, under mild assumptions on a symmetric space \(E\) on \([0,1]\) and a semifinite von Neumann algebra \(\mathcal{M}\), an ...
Jinghao Huang, Marat Pliev, Fedor Sukochev   +2 more
openaire   +2 more sources

Domination by Positive Narrow Operators

Positivity, 2003
Let \(E (\mu)\) be a Köthe function space on a probability space \((\Omega, \Sigma, \mu)\) with an atomless measure \(\mu\) and \(Y\) be a Banach space. An operator \(T: E (\mu) \to Y\) is called narrow if for each measurable set \(A \in \Sigma\) and very \(\varepsilon > 0\) there is a partition \(\{A_1, A_2\}\) of \(A\) with \(\mu (A_1) = \mu (A_2 ...
Flores, Julio, Ruiz, César
openaire   +2 more sources

Dividing measures and narrow operators

Studia Mathematica, 2016
Summary: We use a new technique of measures on Boolean algebras to investigate narrow operators on vector lattices. First we prove that, under mild assumptions, every finite rank operator is strictly narrow (before it was known that such operators are narrow). Then we show that every order continuous operator from an atomless vector lattice to a purely
Mykhaylyuk, Volodymyr, Pliev, Marat, Popov, Mikhail, Sobchuk, Oleksandr   +3 more
openaire   +1 more source

Perturbation of the Hill operator by narrow potentials

Russian Mathematics, 2017
The operator, considered in the paper, is a special case of the Hill operator, a perturbation of a periodic second order differential operator, defined on the real axis, which describes the one-dimensional model of the Bloch electron in a crystal placed in an external electric field.
Bikmetov, A. R., Khusnullin, I. Kh.
openaire   +1 more source

Narrow and Standard Gauge Lines Operations

IEEE Industry Applications Magazine, 2008
This article illustrates a novel design of traction power converter and the specified control strategy of traction equipment of the GCT. We also introduce the test results to verify the basic function of the propulsion system and refer to the operating results in the gauge changing section to verify the control strategy.
Keiichiro Kondo, Hiroshi Hata, Nobuo Terauchi   +2 more
openaire   +1 more source

Narrow vein mining — A challenge to the operator

2020
Narrow veins represent an important resource of metals throughout the world, however they are generally technically challenging to exploit because of their geologically complex nature. The requirement of the operator is to produce ore with little dilution and within the framework of economic viability and safety.
Simon C. Dominy, G. Simon Camm, Roland F.G. Phelps   +2 more
openaire   +1 more source