Results 211 to 220 of about 332,343 (256)
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Domination by Positive Narrow Operators
Positivity, 2003Let \(E (\mu)\) 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
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On the “function” and “lattice” definitions of a narrow operator
Positivity, 2017Let \(E\) 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, Oleksandr Sobchuk
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A lattice approach to narrow operators
Positivity, 2008The 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
Maslyuchenko, Olexandr V. +2 more
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Dividing measures and narrow operators
Studia Mathematica, 2016Summary: 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 +3 more
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, 2012 Narrow and Standard Gauge Lines Operations
IEEE Industry Applications Magazine, 2008This 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 +2 more
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Perturbation of a periodic operator by a narrow potential
Theoretical and Mathematical Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gadylshin, R. R., Khusnullin, I. Kh.
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Narrow vein mining — A challenge to the operator
2020Narrow 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 +2 more
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On two definitions of a narrow operator on Köthe–Bochner spaces
Archiv der Mathematik, 2018Let \((\Omega,\Sigma,\mu)\) 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 ...
Abasov, Nariman, Pliev, Marat
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Narrow linewidth operation of a flashlamp-pumped dye laser
Applied Optics, 1982The authors describe a flashlamp-pumped dye laser system that produces more photons per laser pulse than in nitrogen or Nd:YAG laser-pumped dye lasers. The system uses both a grazing incidence grating and a Littrow mounted grating in conjunction with an elliptical cavity.
J H, Zhang, B R, Hilty, H A, Schuessler
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