Results 1 to 10 of about 332,343 (256)
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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G-narrow operators and G-rich subspaces [PDF]
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 the sum of a narrow and a compact operators [PDF]
Journal of Functional Analysis, 2014 Our main technical tool is a principally new property of compact narrow operators which works for a domain space without an absolutely continuous norm. It is proved that for every K the $F$-space $X$ and for every locally convex $F$-space $Y$ the sum $T_1+T_2$ of a narrow operator $T_1:X\to Y$ and a compact narrow operator $T_2:X\to Y$ is a narrow ...
Volodymyr Mykhaylyuk
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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.
Marat Pliev, M. M. Popov
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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 Narrow Operators from $$L_p$$ into Operator Ideals [PDF]
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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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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On the sum of narrow orthogonally additive operators
Russian Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nariman Magamedovich Abasov
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A Dynamic Localized Adjustable Force Field Method for Real-Time Assistive Non-Holonomic Mobile Robotics [PDF]
International Journal of Advanced Robotic Systems, 2015 Providing an assistive navigation system that augments rather than usurps user control of a powered wheelchair represents a significant technical challenge. This paper evaluates an assistive collision avoidance method for a powered wheelchair that allows
Michael Gillham, Gareth Howells
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