Results 11 to 20 of about 374,552 (274)
Points of narrowness and uniformly narrow operators
Karpatsʹkì Matematičnì Publìkacìï, 2017 It is known that the sum of every two narrow operators on $L_1$ is narrow, however the same is false for $L_p$ with $1 < p < \infty$. The present paper continues numerous investigations of the kind.
A.I. Gumenchuk +2 more
doaj +3 more sources
On Narrow Operators from $$L_p$$ into Operator Ideals
Mediterranean Journal of Mathematics, 2022 AbstractIt is well known that every $$l_2$$ l 2 -strictly singular operator from $$L_p$$ L p , $$1<p<\infty $$ 1
Jinghao Huang +2 more
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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
Pliev M.A., Fang X.
exaly +15 more sources
Domination problem for narrow orthogonally additive operators [PDF]
Positivity, 2016 12 pages. arXiv admin note: text overlap with arXiv:1309.6074.
Marat A 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
Bilik, Dmitriy +3 more
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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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On the Sum of Narrow Orthogonally Additive Operators
Russian Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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G-narrow operators and G-rich subspaces
Open Mathematics, 2013 Abstract Let X and Y be Banach spaces. An operator G: X → Y is a Daugavet center if ‖G +T‖ = ‖G‖+‖T‖ for every rank-1 operator T. For every Daugavet center G we consider a certain set of operators acting from X, so-called G-narrow operators.
Ivashyna Tetiana
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Narrow orthogonally additive operators [PDF]
Positivity, 2013 We extend the notion of narrow operators to nonlinear maps on vector lattices. The main objects are orthogonally additive operators and, in particular, abstract Uryson operators. Most of the results extend known theorems obtained by O. Maslyuchenko, V. Mykhaylyuk and the second named author published in Positivity 13 (2009), pp.
Pliev, Marat, Popov, Mikhail
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UNCONDITIONALLY CONVERGENT SERIES OF OPERATORS AND NARROW OPERATORS ON $L_1$ [PDF]
Bulletin of the London Mathematical Society, 2005 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.
Kadets, Vladimir +2 more
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