Positive Approximate Identities and Lattice-Ordered Dual spaces.
Positive cones associated with a von Neumann algebra.
Positive linear maps of matrix algebras
A characterization of the structure of positive maps is presented. This sheds some more light on the old open problem studied both in Quantum Information and Operator Algebras. Our arguments are based on the concept of exposed points, links between tensor products and mapping spaces and convex analysis.
Power series spaces of finite type and related nuclearities
Poznámka o regulárnych -priestoroch
(p,q)-Convexity in quasi-Banach lattices and applications
Précontinuité et topologie de Mackey sur un espace vectoriel topologique ; espaces prétonnelés
Preduals of Sobolev-Campanato spaces
We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces. Detailed proofs will appear in our paper in Math. Nachr.
Preduals of spaces of vector-valued holomorphic functions
For a balanced open subset of a Fréchet space and a dual-Banach space we introduce the topology on the space of holomorphic functions from into . This topology allows us to construct a predual for which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions....
Preservation of fast completeness under inductive limits
Prevarieties an Intertwined Completeness of Locally Convex Spaces.
Primarité des produits d'espaces de suites
Principal projection bands of a Riesz space
Probabilités cylindriques stables sur les espaces et applications du théorème de dualité
Probabilités cylindriques, type et ordre. Applications radonifiantes
Problème des moments -dimensionnel ; mesures quasi-spectrales et semi-groupes
Problems concerning weak Asplund spaces
Product spaces generated by bilinear maps and duality
In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of functional analysis that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown, regarding pointwise...
Product Theorems for Certain Summability Methods in Non-archimedean Fields
In this paper, denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in The main purpose of this paper is to prove some product theorems involving the methods and in such fields
Products and projective limits of function spaces
We introduce a notion of a product and projective limit of function spaces. We show that the Choquet boundary of the product space is the product of Choquet boundaries. Next we show that the product of simplicial spaces is simplicial. We also show that the maximal measures on the product space are exactly those with maximal projections. We show similar characterizations of the Choquet boundary and the space of maximal measures for the projective limit of function spaces under some additional assumptions...