JAT
2011
12 years 11 months ago
2011
JAT
2011
12 years 11 months ago
2011
JAT
2011
12 years 11 months ago
2011
In this paper we study the ability of convergent subdivision schemes to reproduce polynomials in the sense that for initial data, which is sampled from some polynomial function, t...
JAT
2011
12 years 11 months ago
2011
For an operator T ∈ B(X, Y ), we denote by am(T), cm(T), dm(T), and tm(T) its approximation, Gelfand, Kolmogorov, and absolute numbers. We show that, for any infinite dimensiona...
JAT
2011
12 years 11 months ago
2011
We prove that there exists a weakly closed and bounded subset E of c0 which is not remotal from 0, and such that co (E) is remotal from 0. This answers a question of M. Mart´ın ...
JAT
2011
12 years 11 months ago
2011
We investigate compactness and asymptotic behaviour of the entropy numbers of embeddings B s1,s1 p1,q1 (Rn , U) → B s2,s2 p2,q2 (Rn , U) . Here Bs,s p,q (Rn, U) denotes a 2-micr...
JAT
2011
12 years 11 months ago
2011
Stone-Weierstrass-type theorems for groups of group-valued functions with discrete range or discrete domain are obtained. We study criteria for a subgroup of the group of continuou...