Go to page
 

Bibliographic Metadata

Title
Extension of Lipschitz functions / Lorenz Oberhammer
AuthorOberhammer, Lorenz
CensorKopecká, Eva
Thesis advisorKopecká, Eva
PublishedInnsbruck, 2016
Descriptionix, 85 Seiten : Diagramme
Institutional NoteUniversität Innsbruck, Masterarbeit, 2016
Date of SubmissionMay 2016
LanguageEnglish
Document typeMaster Thesis
URNurn:nbn:at:at-ubi:1-4144 Persistent Identifier (URN)
Restriction-Information
 The work is publicly available
Files
Extension of Lipschitz functions [1.38 mb]
Links
Reference
Classification
Abstract (English)

In this masters thesis two recent results related to the problem of the extension of Lipschitz functions are presented.

The first one deals with functions defined on subsets of metric spaces with values in the real numbers that are both Lipschitz and continuous with respect to some given topology on the metric space (not necessarily the topology induced by the metric). A condition is given when such functions admit extensions to the whole space that preserve both the Lipschitz condition and continuity with respect to the topology.

The second one examines the possibility of “continuous” selections of extensions for Lipschitz functions between Hilbert spaces.

Stats
The PDF-Document has been downloaded 58 times.