Localisation et multiplicateurs des espaces de Sobolev Homogenes.
Localisations des espaces de Besov
Localization and duality of topological tensor-products.
Localization families for real function algebras.
Localization of bounded sets in tensor products.
The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.
Localization principle for Triebel-Lizorkin spaces on spaces of homogeneous type.
The author establishes the localization principle for the Triebel-Lizorkin spaces on spaces of homogeneous type.
Localization techniques in spaces
Localizations of partial differential operators and surjectivity on real analytic functions
Let P(D) be a partial differential operator with constant coefficients which is surjective on the space A(Ω) of real analytic functions on an open set . Then P(D) admits shifted (generalized) elementary solutions which are real analytic on an arbitrary relatively compact open set ω ⊂ ⊂ Ω. This implies that any localization of the principal part is hyperbolic w.r.t. any normal vector N of ∂Ω which is noncharacteristic for . Under additional assumptions must be locally hyperbolic.
Locally analytically pseudo-convex topological vector spaces
Locally bounded spaces of vector functions and nonlinear operators therein.
Locally compact Baer rings.
Locally compact quantum groups
Locally constant functions
Let X be a compact Hausdorff space and M a metric space. is the set of f ∈ C(X,M) such that there is a dense set of points x ∈ X with f constant on some neighborhood of x. We describe some general classes of X for which is all of C(X,M). These include βℕ, any nowhere separable LOTS, and any X such that forcing with the open subsets of X does not add reals. In the case where M is a Banach space, we discuss the properties of as a normed linear space. We also build three first countable Eberlein...
Locally convex - Algebras
Locally convex inductive limits of normed algebras
Locally convex quasi C*-algebras and noncommutative integration
We continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm topology and we focus our attention on the so-called locally convex quasi C*-algebras. We show, in particular, that any strongly *-semisimple locally convex quasi C*-algebra (𝔛,𝔄₀) can be represented in a class of noncommutative local L²-spaces.
Locally convex spaces for which and the Dvoretsky-Rogers theorem
Locally convex spaces over nonspherically complete valued fields
Locally convex spaces with factorization property
Locally convex topologies in linear orthogonality spaces
In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.