M.ª Carmen de las Obras Loscertales y Nasarre (1981)
Stochastica
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Two new convergences of closed linear subspaces in the real separable Hilbert space are defined. These are the uniform strong convergence and the simultaneously strong and weak convergence to a single limit. Both convergences are characterized and it is shown that they verify the three axioms of Fréchet.
M.ª Carmen de las Obras Loscertales y Nasarre (1984)
Stochastica
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Given a real separable Hilbert space H, G(H) denotes the Geometry of the closed linear subspaces of H, S = {E | n belonging to N} a sequence of G(H) and [E] the closed linear hull of E. The weak, strong and other convergences in G(H) were defined and characterized in previous papers. Now we study the convergence of sequences {E ∩ F | n belonging to N} when {E} is a convergent sequence and F is a subspace of G(H), and we show that these convergences hold, if this intersection exists....
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.
Alberto Falqués Serra (1982)
Stochastica
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In this paper it is first shown that the linear evolution equations for a generalized thermoelastic solid generate a C semigroup. Next an analysis of the long time evolution behaviour yields the some results known for classical thermoelasticity: generically, the natural state is asymptotically stable.
Francesc Bofill (1982)
Stochastica
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We study the relations between simetrization by a limiting process of probabilities and functions defined on a metric compacy product space and their ergodic properties.
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.
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.
A. Bahamonde Rionda, J. S. López García (1985)
Stochastica
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Partially-additive monoids (pams) were introduced by Arbib and Manes ([1]) in order to provide an algebraic approach to the semantic of recursion in theoretical computer science. Here we extend the range of application of pams for capturing information theory concepts as componibility and sequential continuity, which arise naturally in this framework.
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). ...
Piedad Guijarro Carranza (1985)
Stochastica
Similarity:
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. ...