Topologies sur et
Topologisch lineare induktive Limiten mit abzählbarem kompakten Spektrum.
Topologische Tensorprodukte gewisser topologischer Vektorraume.
Topology in nonlinear extensions of hypernumbers.
Torsion classes and subdirect products of Carathéodory vector lattices
Total Bounded Extensions of Biorthogonal Sequences in Banach Spaces.
Total convexity for powers of the norm in uniformly convex Banach spaces.
Total Minimality of the Unitary Groups.
Total subspaces in dual Banach spaces which are not norming over any infinite-dimensional subspace
The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.
Totally convex algebras
By definition a totally convex algebra is a totally convex space equipped with an associative multiplication, i.eȧ morphism of totally convex spaces. In this paper we introduce, for such algebras, the notions of ideal, tensor product, unitization, inverses, weak inverses, quasi-inverses, weak quasi-inverses and the spectrum of an element and investigate them in detail. This leads to a considerable generalization of the corresponding notions and results in the theory of Banach spaces.
Totally ordered sets of ideals in rings of analytic functions.
Totally real submanifolds of with parallel second fundamental form
Tout opérateur d’une -algèbre dans un espace de cotype 2 se factorise par un Hilbert, d’après G. Pisier
Tout sous-espace de contient un , d’après D. Aldous
Towards a Galois theory for crossed products of C*-algebras.
Towards a non-selfadjoint version of Kadison's theorem.
Towards a theory of some unbounded linear operators on -adic Hilbert spaces and applications
We are concerned with some unbounded linear operators on the so-called -adic Hilbert space . Both the Closedness and the self-adjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on , and the solvability of the equation where is a linear operator on .
Towards a two-scale calculus
We define and characterize weak and strong two-scale convergence in Lp, C0 and other spaces via a transformation of variable, extending Nguetseng's definition. We derive several properties, including weak and strong two-scale compactness; in particular we prove two-scale versions of theorems of Ascoli-Arzelà, Chacon, Riesz, and Vitali. We then approximate two-scale derivatives, and define two-scale convergence in spaces of either weakly or strongly differentiable functions. We also derive...
T-p(x)-solutions for nonlinear elliptic equations with an L¹-dual datum
We establish the existence of a T-p(x)-solution for the p(x)-elliptic problem in Ω, where Ω is a bounded open domain of , N ≥ 2 and is a Carathéodory function satisfying the natural growth condition and the coercivity condition, but with only a weak monotonicity condition. The right hand side f lies in L¹(Ω) and F belongs to .
Trace and determinant in Banach algebras
We show that the trace and the determinant on a semisimple Banach algebra can be defined in a purely spectral and analytic way and then we obtain many consequences from these new definitions.