Real Analytic Curves in Fréchet Spaces and Their Duals.
Renormage de certains espaces d'operateurs.
Représentations d'opérateurs à valeurs dans L1 (X,..,..).
Some applications of projective tensor products to holomorphy.
Some properties of the tensor product of Schwartz εb-spaces.
We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).
Some Results Concerning the M-Structure of Operator Spaces.
Some results on Banach spaces without local unconditional structure
Spaces of compact operators which are -ideals in .
Spaces of continuous functions taking their values in the ε-product.
Para un b-espacio nuclear N y un b-espacio E demostramos que si X es un espacio compacto entonces los b-espacios C (X,NεE) y NεC (X,E) son isomorfos. El mismo resultado se verifica también si X es un espacio localmente compacto que es numerable en el infinito.
Structural properties of operator spaces
Supremum norm differentiability.
Sur la reproductibilite des espaces l...
Taylorian points of an algebraic curve and bivariate Hermite interpolation
We introduce and study the notion of Taylorian points of algebraic curves in , which enables us to define intrinsic Taylor interpolation polynomials on curves. These polynomials in turn lead to the construction of a well-behaved Hermitian scheme on curves, of which we give several examples. We show that such Hermitian schemes can be collected to obtain Hermitian bivariate polynomial interpolation schemes.
Tensor products and -nuclear spaces in -adic analysis
Tensor products in the category of topological vector spaces are not associative
We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathology occurs for tensor products of Hausdorff abelian topological groups.
The class of convolution operators on the Marcinkiewicz spaces
Let denote the operator-norm closure of the class of convolution operators where is a suitable function space on . Let be the closed subspace of regular functions in the Marinkiewicz space , . We show that the space is isometrically isomorphic to and that strong operator sequential convergence and norm convergence in coincide. We also obtain some results concerning convolution operators under the Wiener transformation. These are to improve a Tauberian theorem of Wiener on .
The density condition and the strong dual density condition by operator.
The aim of the present article is to introduce and investigate topological properties by operator. We obtain good stability properties for the density condition and the strong dual density condition by taking injective tensor products. Further we analyze the connection to (DF)-properties by operator.
The density condition in projective tensor products.
In this paper we modify a construction due to J. Taskinen to get a Fréchet space F which satisfies the density condition such that the complete injective tensor product l2 x~eF'b does not satisfy the strong dual density condition of Bierstedt and Bonet. In this way a question that remained open in Heinrichs (1997) is solved.
The locally convex -spaces and their dual spaces.
The Oka-Weil theorem in topological vector spaces
It is shown that a sequentially complete topological vector space X with a compact Schauder basis has WSPAP (see Definition 2) if and only if X has a pseudo-homogeneous norm bounded on every compact subset of X.