Tame Köthe Sequence Spaces are Quasi-Normable
We show that every tame Fréchet space admits a continuous norm and that every tame Köthe sequence space is quasi-normable.
Tame Spaces and Power Series Spaces.
Tameness in Fréchet spaces of analytic functions
A Fréchet space with a sequence of generating seminorms is called tame if there exists an increasing function σ: ℕ → ℕ such that for every continuous linear operator T from into itself, there exist N₀ and C > 0 such that ∀x ∈ , n ≥ N₀. This property does not depend upon the choice of the fundamental system of seminorms for and is a property of the Fréchet space . In this paper we investigate tameness in the Fréchet spaces (M) of analytic functions on Stein manifolds M equipped with the compact-open...
Tauberian conditions for conull spaces.
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.
Teilraume gewisser topologischer Vektorraume.
Tensor Norms on l(n) .. l(n).
Tensor Product of Several Spaces and Nuclearity.
Tensor Products and Banach Ideals of p-Compact Operators.
Tensor Products and Spaces of Vector-Valued Continuous Functions.
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.
Tensor Products of Banach Lattices.
Tensor products of Hilbert modules over locally -algebras
In this paper the tensor products of Hilbert modules over locally -algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert -modules are also valid in the context of Hilbert modules over locally -algebras.
Tensor Sequences and Inductive Limits with Local Partition of Unity.
Tensor stable Fréchet and (DF)-spaces.
In this paper we introduce and investigate classes of Fréchet and (DF)-spaces which constitute a very general frame in which the problem of topologies of Grothendieck and some related dual questions have a positive answer. Many examples of spaces in theses classes are provided, in particular spaces of sequences and functions. New counterexamples to the problems of Grothendieck are given.
Tensorprodukte von stetigen linearen Abbildungen in (F)- und (DCF)-Räumen.
The Abel-type transformations into .
The adjoint theorem on A-spaces.
The algebraic dimension of linear metric spaces and Baire properties of their hyperspaces.
Answering a question of Halbeisen we prove (by two different methods) that the algebraic dimension of each infinite-dimensional complete linear metric space X equals the size of X. A topological method gives a bit more: the algebraic dimension of a linear metric space X equals |X| provided the hyperspace K(X) of compact subsets of X is a Baire space. Studying the interplay between Baire properties of a linear metric space X and its hyperspace, we construct a hereditarily Baire linear metric space...