Results 11 to 20 of about 37,281 (287)
Narrow operators on lattice-normed spaces and vector measures [PDF]
, 2015 We consider linear narrow operators on lattice-normed spaces. We prove that, under mild assumptions, every finite rank linear operator is strictly narrow (before it was known that such operators are narrow). Then we show that every dominated, order continuous linear operator from a lattice-normed space over atomless vector lattice to an atomic lattice ...
D. T. Dzadzaeva, M. A. Pliev
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An estimate for narrow operators on $$L^p([0, 1])$$ [PDF]
Archiv der Mathematik, 2020 AbstractWe prove a theorem, which generalises C. Franchetti’s estimate for the norm of a projection onto a rich subspace of $$L^p([0, 1])$$ L p ( [
Eugene Shargorodsky, Teo Sharia
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On sums of narrow and compact operators
Positivity, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O. Fotiy +3 more
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Narrow operators on vector-valued sup-normed spaces [PDF]
Illinois Journal of Mathematics, 2002 19 ...
Dmitriy Bilik +4 more
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Narrow and $\ell_2$-strictly singular operators from $L_p$ [PDF]
Israel Journal of Mathematics, 2012 In the first part of the paper we prove that for $2 < p, r < \infty$ every operator $T: L_p \to \ell_r$ is narrow. This completes the list of sequence and function Lebesgue spaces $X$ with the property that every operator $T:L_p \to X$ is narrow.
Volodymyr Mykhaylyuk +3 more
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Domination Problem for Narrow Orthogonally Additive Operators [PDF]
Positivity, 2015 12 pages. arXiv admin note: text overlap with arXiv:1309.6074.
Marat Pliev
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Narrow operators and the Daugavet property for ultraproducts [PDF]
Positivity, 2005 We show that if $T$ is a narrow operator on $X=X_{1}\oplus_{1} X_{2}$ or $X=X_{1}\oplus_{\infty} X_{2}$, then the restrictions to $X_{1}$ and $X_{2}$ are narrow and conversely. We also characterise by a version of the Daugavet property for positive operators on Banach lattices which unconditional sums of Banach spaces inherit the Daugavet property, and
Dmitriy Bilik +3 more
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On Enflo and narrow operators acting on $L_p$ [PDF]
, 2012 The first part of the paper is inspired by a theorem of H. Rosenthal, that if an operator on $L_1[0,1]$ satisfies the assumption that for each measurable set $A \subseteq [0,1]$ the restriction $T \bigl|_{L_1(A)}$ is not an isomorphic embedding, then the operator is narrow.
Volodymyr Mykhaylyuk +2 more
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On sign embeddings and narrow operators on $L_2$ [PDF]
, 2016 The goal of this note is two-fold. First we present a brief overview of "weak" embeddings, with a special emphasis on sign embeddings which were introduced by H. P. Rosenthal in the early 1980s. We also discuss the related notion of narrow operators, which was introduced by A. Plichko and M. Popov in 1990.
Beata Randrianantoanina
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Wealth Distribution Under Power Trading Frequencies and Transitions of Agents [PDF]
EntropyWe construct a kinetic model to investigate transactions among two populations from different countries. In our model, power collision kernels and a transfer operator are introduced into the Boltzmann equation.
Rongmei Sun, Shaoyong Lai, Xia Zhou
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