Results 11 to 20 of about 372,791 (306)
Unconditionally convergent series of operators and narrow operators on $L_1$ [PDF]
Bulletin of the London Mathematical Society, 2003 We introduce a class of operators on $L_1$ that is stable under taking sums of pointwise unconditionally convergent series, contains all compact operators and does not contain isomorphic embeddings. It follows that any operator from $L_1$ into a space with an unconditional basis belongs to this class.
Vladimir Kadets +2 more
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$L$-orthogonality in Daugavet centers and narrow operators [PDF]
Journal of Mathematical Analysis and Applications, 2020 We study the presence of $L$-orthogonal elements in connection with Daugavet centers and narrow operators. We prove that, if $\dens(Y)\leq _1$ and $G:X\longrightarrow Y$ is a Daugavet center, then $G(W)$ contains some $L$-orthogonal for every non-empty $w^*$-open subset of $B_{X^{**}}$.
Abraham Rueda Zoca
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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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Narrow Orthogonally Additive Operators on Lattice-Normed Spaces [PDF]
Siberian Mathematical Journal, 2015 The aim of this article is to extend results of M.~Popov and second named author about orthogonally additive narrow operators on vector lattices. The main object of our investigations are an orthogonally additive narrow operators between lattice-normed spaces.
Xiao Chun Fang, Marat 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 on lattice-normed spaces [PDF]
Open Mathematics, 2011 Abstract The aim of this article is to extend results of Maslyuchenko, Mykhaylyuk and Popov about narrow operators on vector lattices. We give a new definition of a narrow operator, where a vector lattice as the domain space of a narrow operator is replaced with a lattice-normed space. We prove that every GAM-compact (bo)-norm continuous
Marat Pliev
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