Josep Grané Manlleu (1981)
Stochastica
Similarity:
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.
María Congost Iglesias (1981)
Stochastica
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This paper is concerned with lattice-group valued measures for which the sygma-additivity is defined by means of the order convergence properties. In the first section we treat the analogues for such order-measures with values in a Dedekind complete lattice-group of the Jordan, Lebesgue and Yosida-Hewitt descompositions. The second section deals with the construction of an integral for functions with respect to an order-measure, both taking their values in a Dedekind sygma-complete lattice-ring....
Joan Trías Pairó (1979)
Stochastica
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This paper deals with ordered rings and f-rings. Some relations between classes of ideals are obtained. The idea of subunity allows us to study the possibility of embedding the ring in a unitary f-ring. The Boolean algebras of idempotents and lattice-isometries in an f-ring are studied. We give geometric characterizations of the l-isometries and obtain, in the projectable case, that the Stone space of the Boolean algebra of l-isometries is homeomorphic to the space of minimal prime ideals...
Josep Grané Manlleu (1981)
Stochastica
Similarity:
This paper deals with the invariant sets in the group of isometries of a lattice-ordered group. It is shown that all the invariant sets are union of some transitivity subsets of the spheres.
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.
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.
María Angeles Gil Alvarez (1980)
Stochastica
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In this paper we start from the following situation: a decision maker wants information about a certain parameter space for which he has a set of random variables with probability distribution depending on an unknown paremeter belonging to the mentioned space. Generally, we assume that the decision maker may observe values of any experiment but not of two simultaneous ones. This reason makes a comparison between them indispensable to choose the most appropriate for his objectives. ...
Pedro J. Burillo López, Joaquín Aguilella Almer (1981)
Stochastica
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The purpose of the Part I of this paper is to develop the geometry of Gram's determinants in Hilbert space. In Parts II and III a generalization is given of the Pythagorean theorem and triangular inequality for finite vector families.
Pedro Rubió Díaz (1985)
Stochastica
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Un espacio topológico es una estructura en la que cada punto posee un filtro de entornos y los entornos de un punto se relacionan con los de otros por el hecho de que haya un entorno que lo es de otros puntos vecinos, o sea por el hecho de que haya un sistema fundamental de entornos abiertos. Aquí se trata de estudiar qué subyace en una estructura en la que sólo se postula que en cada punto hay un filtro de entornos.
Robert Fuster Capilla (1985)
Stochastica
Similarity:
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.