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 (1981)
Stochastica
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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.
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.
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.
María Carmen de las Obras (1987)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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M.ª Carmen de las Obras Loscertales y Nasarre (1981)
Revista Matemática Hispanoamericana
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Given a real separable Hilbert space H, we denote with G(H) the geometry of closed linear subspaces of H. The strong convergence of sequences of subspaces is shown to be a L*-convergence and the weak convergence a L-convergence. The smallest L*-convergence containing the weak convergence is found, and the orthogonal image of the strong convergence, which is also a L*-convergence, is defined.
M.ª Carmen de las Obras Loscertales y Nasarre (1980)
Revista Matemática Hispanoamericana
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Given a real separable Hilbert space H, we denote with G(H) the geometry of closed lineal subspaces of H. The weak and strong convergence of sequences of subspaces defined in (8) are characterized. If {E(n) | n ∈ N} is a strong or weak convergent sequence there exists a finite dimensional sequence with the same limit. The strong convergence is interpreted in terms of nbd-finite family, so that a sequence {E(n)...
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.
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.