Projective Tensor Product of -Valued Measures
Properties of Orlicz-Pettis or Nikodym type and barrelledness conditions
An Orlicz-Pettis type property for vector measures and also the “Uniform Boundedness Principle” are shown to fail without local convexity assumption. The author asks under which generalized convexity hypotheses these properties remain true. This problem is expressed in terms of barrelledness type conditions.
Propriété de Radon-Nikodym
Propriété de Runge et enveloppe d'holomorphie de certaines variétés analytiques de dimensions infinies
Pseudodistances invariantes sur les domaines d'un espace localement convexe
Quantum Lévy-type Laplacian and associated stochastic differential equations
We study a quantum extension of the Lévy Laplacian, so-called quantum Lévy-type Laplacian, to the nuclear algebra of operators on spaces of entire functions. We give several examples of the action of the quantum Lévy-type Laplacian on basic operators and we study a quantum white noise convolution differential equation involving the quantum Lévy-type Laplacian.
Quantum logics, vector-valued measures and representations
Quasi-completeness on the Spaces of Holomorphic Germs
Sia uno spazio riflessivo e sia un compatto di . Si dimostra che lo spazio dei germi olomorfi su , con la topologia naturale, è un limite induttivo regolare e quasi completo purché lo spazio dei germi olomorfi all'origine sia un limite induttivo regolare.
Quasinormability of some spaces of holomorphic mappings.
A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.
Quasinormable spaces and the problem of topologies of Grothendieck.
Quasinormable spaces of polynomials.
Quelques applications des fonctions implicites dans les espaces bornologiques
Quelques remarques sur les poids. Application à la théorie des opérateurs radonifiants
Quelques résultats de compacité liés à l'intégration
Questions liées à la théorie des espaces de Wiener
Nous donnons des conditions permettant de vérifier que l’image d’une mesure cylindrique sur un espace vectoriel topologique , par une application linéaire continue dans un autre espace vectoriel topologique , est une mesure de Randon. Dans une première partie, nous donnons des résultats généraux qui portent, soit sur des propriétés géométriques de l’espace , soit sur la mesure cylindrique . Dans une seconde partie, nous donnons des conditions plus précises quand est une mesure cylindrique...
Radon Measures on Banach Spaces with their Weak Topologies
The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.
Radon-Nikodym derivatives in vector integration
Radon-Nikodym property
For a Banach space and a probability space , a new proof is given that a measure , with , has RN derivative with respect to iff there is a compact or a weakly compact such that is a finite valued countably additive measure. Here we define where is a finite disjoint collection of elements from , each contained in , and satisfies . Then the result is extended to the case when is a Frechet space.
Radon-Nikodym property for vector-valued integrable functions
It is proved that if a Frechet space has property, then also has property, for .
Random trilinear forms and the Schur multiplication of tensors.