author = "Muñoz-Fernández, Gustavo A."

Encontrado 48 documentos, página mostrada 1 de 5

A characterization of real Hilbert spaces using the Bochnak complexification norm.

Description: In this paper we find an alternative description of the Bochnak complexification of a real Hilbert space. This new interpretation of the Bochnak norm lets us give a characterization of a real inner product space.
Language(s): Inglés

Geometry of Banach spaces of trinomials

Description: For each pair of numbers m, n epsilon N with m > n, we consider the norm on R-3 given by parallel to(a, b, c)parallel to m,n = sup{vertical bar ax(m) +bx(n) +C vertical bar: x epsilon [-1, 1]} for every (a, b, c) epsilon R-3. We investigate some geometrical properties of these norms. We provide an e...
Language(s): Inglés

Convolution functions that are nowhere differentiable

Description: In 1951 V. Jarnik constructed two continuous functions whose Volterra convolution is nowhere differentiable. We generalize Jarnik's results by proving that the set of such functions is maximal lineable. This would shed some light on a question posed in 1973 on the structure of the set of continuous ...
Language(s): Inglés

A hierarchy in the family of real surjective functions

Description: This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties. These examples help us to establish a hierarchy within the different classes of surjectivity we deal with. The cl...
Language(s): Inglés

Lineability and additivity in R(R).

Description: We give a condition for a family of functions to be lineable by means of its additivity. The novelty presented here is that we solve the lineability problem using a technique that is not constructive, as are most approaches to this problem. We relate the notions of additivity and lineability and use...
Language(s): Inglés

Non-Lipschitz functions with bounded gradient and related problems

Description: Let E be a topological vector space and let us consider a property P. We say that the subset M of E formed by the vectors in E which satisfy P is μ-lineable (for certain cardinal μ, finite or infinite) if M ∪ {0} contains an infinite dimensional linear space of dimension μ. In this note we prove tha...
Language(s): Inglés

Estimates for the asymptotic behaviour of the constants in the Bohnenblust-Hille inequality

Description: A classical inequality due to H. F. Bohnenblust and E. Hille states that for every positive integer n there is a constant C-n > 0 so that (Sigma(N)(i1,...,in=1) vertical bar U(e(i1), . . . , e(in))vertical bar(2n/n+1))(n+1/2n) <= C-n parallel to U parallel to for every positive integer N and every n...
Language(s): Inglés

The set of periods of chaotic operators and semigroups

Description: This expository paper is devoted to the review of some very recent results concerning the set of periods of a chaotic operator T or a chaotic semigroup {T (t): t a parts per thousand yen 0} acting on a complex Banach space. We obtain information about the structure of the set of periods and we give ...
Language(s): Undetermined

A Characterization of Continuity Revisited

Description: It is well known that a function f : R -> R is continuous if and only if the image of every compact set under f is compact and the image of every connected set is connected. We show that there exist two 2(c)-dimensional linear spaces of nowhere continuous functions that (except for the zero function...
Language(s): Undetermined

L-P-Analogues of Bernstein and Markov Inequalities

Description: Let parallel to . parallel to(infinity) denote the sup norm on [-1,1]. If x is an element of [-1,1] is fixed and M-m,M-n(x) is the best constant in vertical bar p'(x)vertical bar <= M-m,M-n(x)parallel to p parallel to(infinity), for all trinomials p of the form p(x) = ax(m) + bx(n) + c with a, b, c ...
Language(s): Inglés

Encontrado 48 documentos, página mostrada 1 de 5

Uso de cookies: Este sitio web utiliza cookies propias y de terceros para dar un mejor servicio. Si continúa navegando se considera que acepta su uso. OKMás información