منابع مشابه
On a Sufficient Condition for Proximity
A closed subspace M in a Banach space X is called t/-proximinal if it satisfies: (1 + p)S n (S + M) ç S + e(pXS n M), for some positive valued function t(p), p > 0, and e(p) -» 0 as p -> 0, where 5 is the closed unit ball of X. One of the important properties of this class of subspaces is that the metric projections are continuous. We show that many interesting subspaces are (/-proximinal, for ...
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An open theoretical problem in the study of subdivision algorithms for approximation of manifold-valued data has been to give necessary and sufficient conditions for a manifold-valued subdivision scheme, based on a linear subdivision scheme, to share the same regularity as the linear scheme. This is called the smoothness equivalence problem. In a companion paper, the authors introduced a differ...
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In the recent literature on subdivision methods for approximation of manifold-valued data, a certain “proximity condition” comparing a nonlinear subdivision scheme to a linear subdivision scheme has proved to be a key analytic tool for analyzing regularity properties of the scheme. This proximity condition is now well-known to be a sufficient condition for the nonlinear scheme to inherit the re...
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Our society is consistently told that the world is becoming increasingly connected, that the Internet can join physically disparate people by means of email, Web sites, and chatrooms, and that the one 'must have' is a personal domain name; in effect, that the virtual should be more respected than the physical. People are led to believe that computers, with the 'net' as their focus, are their po...
متن کاملNanostructures and the proximity effect
Nanostructures have interesting properties due to the confinement of electrons in small structures. In addition, since an appreciable fraction of the electronic wave-function resides outside the physical extension of the nanostructure, proximity effects become more important with decreasing size. Moreover, in magnetic nanostructures the magnetic fields also extend a considerable distance outsid...
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ژورنال
عنوان ژورنال: Social Choice and Welfare
سال: 2011
ISSN: 0176-1714,1432-217X
DOI: 10.1007/s00355-011-0630-6