Información del autor
Documentos disponibles escritos por este autor (44)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
We prove that every dense subgroup of a topological abelian group has the same ‘convergence dual’ as the whole group. By the ‘convergence dual’ we mean the character group endowed with the continuous convergence structure. We draw as a corollary[...]texto impreso
Bessaga, C. ; Hernando Boto, Beatriz ; Martín Peinador, Elena | Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza | 1997This is a small book (48 pages) that contains a revised and extended version of the notes of seminar lectures given by Bessaga. The authors present a nice introduction to nuclear spaces (with all necessary preliminaries) based on Kolmogorov diam[...]texto impreso
A brief biography of Plans in honor of his 65th birthday, dedicating the volume to him. A bibliography of 69 publications and a list of 13 doctoral dissertations that he supervised are attached.texto impreso
We prove that in the character group of an abelian topological group, the topology associated (in a standard way) to the continuous convergence structure is the finest of all those which induce the topology of simple convergence on the correspon[...]texto impreso
A convergence structure ? on a set G is a set of pairs (F,x) consisting of a filter F on X and an element x?X satisfying a few simple axioms expressing the idea that F converges to x. A set with a convergence structure is a convergence space. It[...]texto impreso
For an abelian locally compact group X let X^p be the group of continuous homomorphisms from X into the unit circle T of the complex plane endowed with the pointwise convergence topology. It is proved that X is metrizable iff X^p is K-analytic i[...]texto impreso
Feechet-Urysohn (briefly F-U) property for topological spaces is known to be highly non-multiplicative: for instance, the square of a compact F-U space is not in general Frechet-Urysohn [P. Simon, A compact Frechet space whose square is not Frec[...]texto impreso
texto impreso
For a normed infinite-dimensional space, we prove that the family of all locally convex topologies which are compatible with the original norm topology has cardinality greater or equal to c.texto impreso
We study the completeness properties of several different group topologies for the additive group of real numbers, and we also compute the corresponding dual groups. We first present two metrizable connected group topologies on R with topologica[...]texto impreso
Bruguera Padró, M. Montserrat ; Chasco, M.J. ; Martín Peinador, Elena ; Tarieladze, Vaja | Elsevier Science | 2000-04-16It is natural to extend the Grothendieck theorem on completeness, valid for locally convex topological vector spaces, to Abelian topological groups. The adequate framework to do it seems to be the class of locally quasi-convex groups. However, i[...]texto impreso
Martín Peinador, Elena | Real Sociedad Matemática Española;Consejo Superior de Investigaciones Científicas. Instituto "Jorge Juan" de Matemáticas | 1974Weak sequential convergence defines a topology by the requirement that a set O is open if xn?x and x?O implies almost every xn?O. This topology, Tc, is considered for a real Hilbert (separable) space. A form for the neighborhoods of the origin i[...]texto impreso
We study various degrees of completeness for a Tychonoff space X. One of them plays a central role, namely X is called a Conway space if X is sequentially closed in its Stone–?ech compactification ? X (a prominent example of Conway spaces is pro[...]texto impreso
We equip the product of countably many copies of a compact Abelian group X with the uniform topology, and study some properties of the topological group G thus obtained. In particular, we determine the cardinality of the dual group of G, when X [...]texto impreso
Bruguera Padró, M. Montserrat ; Martín Peinador, Elena ; Tarieladze, Vaja | Oxford University Press | 2004Leaning on a remarkable paper of Pryce, the paper studies two independent classes of topological Abelian groups which are strictly angelic when endowed with their Bohr topology. Some extensions are given of the Eberlein–?Smulyan theorem for the [...]
