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Applications of Artificial Intelligence in the Endoscopic Detection and Characterization of Early Esophageal Squamous Cell Carcinoma: A Scoping Review. [PDF]
Rodríguez-Velásquez F +5 more
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Critical impact of automobile industry with advanced decision support system and Aczél-Alsina Hammy mean operators. [PDF]
Hussain A, Ullah K, Ali Z, Pamucar D.
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(Strongly-)Dunford–Pettis Operators and Narrow Operators
Integral Equations and Operator Theory, 2023The 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 ...
Marat Pliev, Jinghao Huang
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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
Oleksandr Maslyuchenko
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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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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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Perturbation of the Hill operator by narrow potentials
Russian Mathematics, 2017The 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.
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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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