Vektorwertige Distributionen als Randverteilungen holomorpher Funktionen.
Verallgemeinerte konvexe Funktionen.
Vervollständigung streng ausgeglichener Limesvektorräume I.
Vervollständigung streng ausgeglichener Limesvektorräume II.
Verwandte Operatoren.
Vollständige und B-vollständige topologischje Vektorgruppen Graphensätze und Open-Mapping Theorems.
Vollständigkeit und der Graphensatz.
Weak bases in -adic spaces
We study polar locally convex spaces over a non-archimedean non-trivially valued complete field with a weak topological basis. We prove two completeness theorems and a Hahn-Banach type theorem for locally convex spaces with a weak Schauder basis.
Weak Cauchy sequences in
For a finite and positive measure space Ω,∑,μ characterizations of weak Cauchy sequences in , the space of μ-essentially bounded vector-valued functions f:Ω → X, are presented. The fine distinction between Asplund and conditionally weakly compact subsets of is discussed.
Weak compactness and summability
Weak compactness criteria and convergences in LE1(μ).
Weak Compactness in Locally Convex g-Spaces and Related Questions.
Weak compactness in the space of operator valued measures and its applications
In this note we present necessary and sufficient conditions characterizing conditionally weakly compact sets in the space of (bounded linear) operator valued measures . This generalizes a recent result of the author characterizing conditionally weakly compact subsets of the space of nuclear operator valued measures . This result has interesting applications in optimization and control theory as illustrated by several examples.
Weak Compactness of Multiplication Operators on Spaces of Bounded Linear Operators.
Weak Compactness, Pseudo-reflexivity and Quasi-reflexivity.
Weak convergence in infinite dimensional spaces
Weak countable compactness implies quasi-weak drop property
Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property.
Weak Grothendieck's theorem.
Weak-norm sequentially continuous operators
Weak orthogonality and weak property () in some Banach sequence spaces
It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property () in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.