Robert Fuster Capilla (1985)
Stochastica
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In this note we determine the class of indefinite and decomposable inner product spaces in which the natural topology is admissible and we prove the continuity of orthogonal projections in these spaces.
Enrique Tarazona Ferrandis (1981)
Stochastica
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We study some relations whose compatibility with the topology is equivalent to normality or to complete regularity.
Enrique Tarazona Ferrandis (1981)
Stochastica
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This paper deals with the existence of non constant real valued functions on a topological space X. The main results are related to closed covers and order properties.
Nicolás Pérez de la Blanca Capilla, José Antonio Herencia González (1986)
Stochastica
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Dentro del contexto del Análisis Exploratorio de Datos tal como ha sido definido por Tukey (1977), se aborda el estudio de la síntesis numérica de un "batch" unidimensional. Más concretamente, se analizan las propiedades que relacionan los cuantiles muestrales con otro conjunto de valores muy cercanos a éstos y que denominaremos cuasicuantiles. Estos presentan las propiedades de poderse calcular de forma más simple que aquéllos y de concentrarse más en las colas que en el centro de la...
Josep Grané Manlleu (1981)
Stochastica
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This paper deals with the topological properties of groups of isometries of lattice-ordered groups and f-rings. The topologies considered are order-topology and the topology defined by null-sequences.
Piedad Guijarro Carranza (1986)
Stochastica
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Let U be an open convex subset of Cn, n belonging to N, such that the set of all polinomies is dense in the space of all holomorphic and complex functions on U, (H(U), t0), where t0 is the open-compact topology. We endow the space HK(U) of all holomorphic functions on U that have asymptotic expansion at the origin with a metric and we study a particular compact subset of HK(U). ...
M.ª Carmen de las Obras Loscertales y Nasarre (1986)
Stochastica
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Given a real separable Hilbert space H, we denote with S = {E(n) | n belongs to N} a sequence of closed linear subspaces of H. In previous papers, the strong, weak, a--> and b--> convergences are defined and characterized. Now, given a sequence S with strong, weak, a--> or b--> limit, and a linear operator of H, A, the sequence AS is studied.
Paz Morillo Bosch, Miguel Angel Fiol Mora (1986)
Stochastica
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This paper studies some diameter-related properties of the 3-step circulant digraphs with set of vertices V≡Z and steps (± a,b). More precisely, it concentrates upon maximizing their order N for any fixed value of their diameter k. In the proposed geometrical approach, each digraph is fully represented by a T-shape tile which tessellates periodically the plane. The study of these tiles leads to the optimal solutions.
Piedad Guijarro Carranza (1985)
Stochastica
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Let U be an open convex set in a Banach space E, F another Banach space. We consider the space H(U,F) of all F-valued holomorphic functions of bounded type in U possesing an asymptotic expansion in the origin. We study classes of asymptotic approximations such that two functions in the same class with an identical asymptotic expansion must coincide. In this paper, we characterize the functions belonging to some of these classes which are optimal approximations of a given series. ...