Produits tensoriels d'espaces vectoriels topologiques
Produits tensoriels topologiques multiples
Projections, extendability of operators and the Gâteaux derivative of the norm.
Projective and inductive limits of Banach spaces
Projective representations of spaces of quasianalytic functionals
The weighted inductive limit of Fréchet spaces of entire functions in N variables which is obtained as the Fourier-Laplace transform of the space of analytic functionals on an open convex subset of can be described algebraically as the intersection of a family of weighted Banach spaces of entire functions. The corresponding result for the spaces of quasianalytic functionals is also derived.
Projectively generated topologies on tensor products
Prolongement bornologique de foncteurs d'interpolation et applications
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.
Properties of Sequence Spaces in Which l1 is Weakly Compactly Embedded.
Properties of some sets of infinite series
Propriétés géométriques des sous-espaces invariants par translation de et
Proximitní prostory
Pseudo-boundaries and pseudo-interiors for topological convexities [Book]
Pseudocomplémentation dans les espaces de Banach
This paper introduces the following definition: a closed subspace Z of a Banach space E is pseudocomplemented in E if for every linear continuous operator u from Z to Z there is a linear continuous extension ū of u from E to E. For instance, every subspace complemented in E is pseudocomplemented in E. First, the pseudocomplemented hilbertian subspaces of are characterized and, in with p in [1, + ∞[, classes of closed subspaces in which the notions of complementation and pseudocomplementation...
Pseudo-completeness in linear metrizable spaces
Pseudo-convex Completion of Locally Convex Topological Vector Spaces.
Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
For any pair E,F of pseudotopological vector spaces, we endow the space L(E,F) of all continuous linear operators from E into F with a pseudotopology such that, if G is a pseudotopological space, then the mapping L(E,F) × L(F,G) ∋ (f,g) → gf ∈ L(E,G) is continuous. We use this pseudotopology to establish a result about differentiability of certain operator-valued functions related with strongly continuous one-parameter semigroups in Banach spaces, to characterize von Neumann algebras, and to establish...
Pseudo-valuation and pseudo norm
Pták homomorphism theorem revisited
Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topological vector space is semi-open. In this paper we study this extension and, as a consequence of the results obtained, provide an improvement of Pták’s homomorphism theorem.
P-Universally bounded unitary operators and the structure of locally convex vector spaces