Información del autor
Documentos disponibles escritos por este autor (18)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
Let ? be a nonempty set, and let ? be a field of subsets of ?. If E is a locally convex space we denote by S(?;E) the vector space of all ?-simple functions defined on ? with values in E, and by B(?;E) the vector space of all functions defined o[...]texto impreso
Denote by C0(E) the linear space of all sequences in E which converge to zero in E endowed with its natural topology. A. Marquina and J. M. Sanz Serna [same journal 31 (1978/79), 589–596; MR0531574 (80i:46010)] gave necessary and sufficient cond[...]texto impreso
Let X be a Banach space, (Omega, Sigma, mu) a finite measure space, and L-1 (mu, X) the Banach space of X-valued Bochner mu-integrable functions defined on Omega endowed with its usual norm. Let us suppose that Sigma(0) is a sub-sigma-algebra of[...]texto impreso
Let X be a a real normed linear space of dimension at least three, with unit sphere S-X. In this paper we prove that X is an inner product space if and only if every three point subset of S-X has a Chebyshev center in its convex hull. We also gi[...]texto impreso
Let E be a Banach space, let (OMEGA, SIGMA, mu) a finite measure space, let 1texto impreso
The paper gives a very extensive and nicely written survey on the question of when spaces of Banach-space-valued functions, Lp(?,X) (1?p??) or C(K,X), contain (complemented) copies of l1, c0 or l?. At the end the author gives a sample of open pr[...]texto impreso
Let (?,?,?) be any measure space, X a Banach space and for 1?ptexto impreso
The Statement Of The Title Is Proved.texto impreso
The two main results of this paper are the following: (a) If X is a Banach space and f : [a, b] --> X is a function such that x*f is Denjoy integrable for all x* is an element of X*, then f is Denjoy-Dunford integrable, and (b) There exists a D[...]texto impreso
We study some characterizations of inner product spaces given in the literature. Among other things, we give an example showing that one of the characterizations given in the classical book of Amir (1986) is not correct.texto impreso
Let X be a Hausdorff completely regular space and E be a Hausdorff locally convex topological vector space. Then C(X;E) denotes the linear space of the continuous functions on X, with values in E. Previously [C. R. Acad. Sci. Paris Sér. A-B 271 [...]texto impreso
As the authors of this article state, "the ordinary functional analyst is naturally impatient with the multiplicity of definitions of `integral' which have been proposed for vector-valued functions, and would much prefer to have a single canonic[...]texto impreso
Banach spaces. Some results on complemented subspaces of l(p)(l(q)) are also given.texto impreso
A Banach space E has the Dunford-Pettis property if every operator from E into a reflexive Banach space is a Dunford-Pettis operator. D. Leung [Math. Z. 197, 21-32 (1988] introduced a formally weaker property, the surjective Dunford-Pettis prop[...]texto impreso
Let X be a Banach space and let Y be a closed subspace of X. Let 1 less than or equal to p less than or equal to infinity and let us denote by L-p(mu, X) the Banach space of all X-valued Bochner p-integrable (essentially bounded for p = infinity[...]
