On p-summable sequences in locally convex spaces.
On the derived tensor product functors for (DF)- and Fréchet spaces
For a (DF)-space E and a tensor norm α we investigate the derivatives of the tensor product functor from the category of Fréchet spaces to the category of linear spaces. Necessary and sufficient conditions for the vanishing of , which is strongly related to the exactness of tensored sequences, are presented and characterizations in the nuclear and (co-)echelon cases are given.
On the exponential of a bounded linear operator in a L(E,E) algebra
On the functors Ext¹(E,F) for Fréchet spaces
On the geometry of spaces of K-valued operators
On the M-structure of the operator space L(CK)
On Weak Convergence of Norm Preserving Operators on L2 (X) and its Application to Measure Preserving Transformations.
Operator and function spaces which are K-analytic
Polynomials and multilinear forms on fully nuclear spaces
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....
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...
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...
Projectively generated topologies on tensor products
P-Universally bounded unitary operators and the structure of locally convex vector spaces
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.
Quasinormable spaces and the problem of topologies of Grothendieck.
Quelques propriétés de l'espace des opérateurs compacts
Random trilinear forms and the Schur multiplication of tensors.
Randverteilungen holomorpher Funktionen und die Topologie von D'.
Rank α operators on the space C(T,X)
For 0 ≤ α < 1, an operator U ∈ L(X,Y) is called a rank α operator if implies Uxₙ → Ux in norm. We give some results on rank α operators, including an interpolation result and a characterization of rank α operators U: C(T,X) → Y in terms of their representing measures.