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Mostrando ítems 31-40 de 1822
The C(K, X) spaces for compact metric spaces K and X with a uniformly convex maximal factor
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
In this paper, we prove that if a Banach space X contains some uniformly convex subspace in certain geometric position, then the C(K, X) spaces of all X-valued continuous functions defined on the compact metric spaces K ...
Discrete approximation of spaces of homogeneous type
(Springer, 2009-01)
In this note we combine the dyadic families introduced by M. Christ in (Colloq. Math. 60/61(2):601-628, 1990) and the discrete partitions introduced by J.M. Wu in (Proc. Am. Math. Soc. 126(5):1453-1459, 1998) to get ...
Effective proximity retrieval by ordering permutations
(IEEE COMPUTER SOC, 2008-09)
We introduce a new probabilistic proximity search algorithm for range and K-nearest neighbor (K-NN) searching in both coordinate and metric spaces. Although there exist solutions for these problems, they boil down to a ...
Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces
(Academic Press Inc., 2018)
Based on a fundamental work of R. B. Holmes from 1973, we study differentiability properties of the metric projection onto prox-regular sets. We show that if the set is a nonconvex body with a Cp+1-smooth boundary, then ...
A Berger-type theorem for metric connections with skew-symmetric torsion
(Elsevier Science, 2012-12)
We prove a Berger-type theorem which asserts that if the orthogonal subgroup generated by the torsion tensor (pulled back to a point by parallel transport) of a metric connection with skew-symmetric torsion is not transitive ...
Larotonda spaces: Homogeneous spaces and conditional expectations
(World Scientific, 2016-02)
We define a Larotonda space as a quotient space P = UA/UB of the unitary groups of C ∗ -algebras 1 ∈ B ⊂ A with a faithful unital conditional expectation Φ : A → B. In particular, B is complemented in A, a fact which implies ...
Improving the space cost of k-nn search in metric spaces by using distance estimators
(KLUWER ACADEMIC PUBLISHERS, 2009)
Improving the space cost of k-nn search in metric spaces by using distance estimators
(KLUWER ACADEMIC PUBLISHERS, 2009)