Results 11 to 20 of about 362,488 (307)
Narrow orthogonally additive operators in lattice-normed spaces [PDF]
Siberian Mathematical Journal, 2017 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.
Marat Pliev, Xiaochun Fang
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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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Narrow operators and rich subspaces of Banach spaces with the Daugavet property [PDF]
Studia Mathematica, 2001 Let $X$ be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on $X$ which depend only on the norms of images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of $X ...
Vladimir Kadets +2 more
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On the sum of narrow orthogonally additive operators
Russian Mathematics, 2020 In this article, we consider orthogonally additive operators defined on a vector lattice E and taking value in a Banach space X. We say that an orthogonally additive operator $T:E\to X$ is narrow if for every $e\in E$ and $\varepsilon>0$ there exists a decomposition $e=e_1\sqcup e_2$ of e into a sum of two disjoint fragments e1 and e2 such that
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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On Enflo and narrow operators acting on $L_p$
, 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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$L$-orthogonality in Daugavet centers and narrow operators
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 operators (a survey) [PDF]
Banach Center Publications, 2011 M. M. Popov
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On sign embeddings and narrow operators on $L_2$
, 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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