Tensorprodukte von stetigen linearen Abbildungen in (F)- und (DCF)-Räumen.
The approximation property for a pair of Banach spaces.
The approximation property of order (p,q) in Banach spaces.
The associated tensor norm to -absolutely summing operators on -spaces
We give an explicit description of a tensor norm equivalent on to the associated tensor norm to the ideal of -absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to .
The centralizer under tensor product.
The complex Grothendieck inequality for 2x2 matrices
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 exactness of the projective limit functor on the category of quotients of Frechet spaces
We give conditions under which the functor projective limit is exact on the category of quotients of Fréchet spaces of L. Waelbroeck [18].
The Grothendieck property for injective tensor products of Banach spaces
The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators
The ideal structure of the Haagerup tensor product of C*-algebras.
The laplacian and the Dirac operator in infinitely many variables
The -field-irreducible part of a -point functional
The Poulsen simplex is not a tensor product.
The projective tensor product of Fréchet-Montel spaces
The Schur multiplication in tensor algebras
The simultaneous existence of linear functionals
The space of all bounded operators on Hilbert space does not have the approximation property
The symmetric tensor product of a direct sum of locally convex spaces
An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology τ such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for gives a direct proof of a recent result of Díaz and Dineen (and generalizes it to other topologies τ) that the n-fold projective symmetric and the n-fold projective “full” tensor product of a locally convex space E are isomorphic if E is isomorphic to its square .