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On Bilinear Narrow Operators [PDF]
Mathematics, 2021 In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator T:E×F→W defined on the Cartesian product of vector lattices E and F and taking values in a vector lattice W is narrow if ...
Marat Pliev +2 more
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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
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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
Marat Pliev +2 more
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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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On sums of narrow and compact operators
Positivity, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mikhail Popov
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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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Domination problem for narrow orthogonally additive operators [PDF]
Positivity, 2016 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
Vladimir Kadets, Dirk Werner
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On linear sections of orthogonally additive operators
Математичні Студії, 2022 Our first result asserts that, for linear regular operators acting from a Riesz space with the principal projection property to a Banach lattice with an order continuous norm, the $C$-compactness is equivalent to the $AM$-compactness. Next we prove that,
A. Gumenchuk, I. Krasikova, M. Popov
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Widening and narrowing operators for abstract interpretation [PDF]
Computer Languages, Systems & Structures, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CORTESI, Agostino, ZANIOLI, Matteo
openaire +3 more sources