Valdivia compact abelian groups.
Valdivia compacta and equivalent norms
We prove that the dual unit ball of a Banach space X is a Corson compactum provided that the dual unit ball with respect to every equivalent norm on X is a Valdivia compactum. As a corollary we show that the dual unit ball of a Banach space X of density is Corson if (and only if) X has a projectional resolution of the identity with respect to every equivalent norm. These results answer questions asked by M. Fabian, G. Godefroy and V. Zizler and yield a converse to Amir-Lindenstrauss’ theorem.
Valdivia compacta and subspaces of C(K) spaces.
Valuations of lines
We enlarge the problem of valuations of triads on so called lines. A line in an -structure (it means that is a semigroup and is an automorphism or an antiautomorphism on such that ) is, generally, a sequence , , (where is the class of finite integers) of substructures of such that holds for each . We denote this line as and we say that a mapping is a valuation of the line in a line if it is, for each , a valuation of the triad in . Some theorems on an existence of...
Valuations of structures
Variation preserving extensions and generalized essential variation.
Variational stability and well-posedness in the optimal control of ordinary differential equations
Variations of uniform completeness related to realcompactness
Various characterizations of realcompactness are transferred to uniform spaces giving non-equivalent concepts. Their properties, relations and characterizations are described in this paper. A Shirota-like characterization of certain uniform realcompactness proved by Garrido and Meroño for metrizable spaces is generalized to uniform spaces. The paper may be considered as a unifying survey of known results with some new results added.
Variations on the Banach-Stone theorem.
Various approaches to the fundamental groups
Various kinds of local connectedness.
Verallgemeinerte topogene Ordnungen.
Verallgemeinerungen eines Satzes von S. Piccard.
Vervollständigung streng ausgeglichener Limesvektorräume I.
Vervollständigung streng ausgeglichener Limesvektorräume II.
Very unlatticelike ordered spaces
Viètes Tangentenkonstruktion und eine Klasse ebener Kurven.
Vietoris topology on spaces dominated by second countable ones
For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = FK : K ∈ C(M) ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂ FL for any K;L ∈ C(M). A space X is strongly dominated by a space M if there exists an M-ordered compact cover F such that for any compact K ⊂ X there is F ∈ F such that K ⊂ F . Let K(X) D C(X){Øbe the set of all nonempty compact subsets of a space...
Viscosity approximation method for nonexpansive nonself-mapping and variational inequality.
Vitali sets.