dc.identifier.uri |
http://dx.doi.org/10.15488/2678 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2704 |
|
dc.contributor.author |
Westphal, U.
|
|
dc.contributor.author |
Schwartz, T.
|
|
dc.date.accessioned |
2018-01-29T12:57:26Z |
|
dc.date.available |
2018-01-29T12:57:26Z |
|
dc.date.issued |
1998 |
|
dc.identifier.citation |
Westphal, U.; Schwartz, T.: Farthest points and monotone operators. In: Bulletin of the Australian Mathematical Society 58 (1998), Nr. 1, S. 75-92. DOI: https://doi.org/10.1017/S0004972700032019 |
|
dc.description.abstract |
We apply the theory of monotone operators to study farthest points in closed bounded subsets of real Banach spaces. This new approach reveals the intimate connection between the farthest point mapping and the subdifferential of the farthest distance function. Moreover, we prove that a typical exception set in the Baire category sense is pathwise connected. Stronger results are obtained in Hubert spaces. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Cambridge : Cambridge University Press |
|
dc.relation.ispartofseries |
Bulletin of the Australian Mathematical Society 58 (1998), Nr. 1 |
|
dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
|
dc.subject |
monotone operators |
eng |
dc.subject |
Banach spaces |
eng |
dc.subject |
Hilbert spaces |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Farthest points and monotone operators |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
0004-9727 |
|
dc.relation.doi |
https://doi.org/10.1017/S0004972700032019 |
|
dc.bibliographicCitation.issue |
1 |
|
dc.bibliographicCitation.volume |
58 |
|
dc.bibliographicCitation.firstPage |
75 |
|
dc.bibliographicCitation.lastPage |
92 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|