<div class="csl-bib-body">
<div class="csl-entry">Ludwig, M. (2024, March 11). <i>Recent Advances in Valuations on Function Spaces</i> [Conference Presentation]. Workshop: High-dimensional Phenomena: Geometric and Probabilistic Aspects, Bonn, Germany.</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/198015
-
dc.description.abstract
A functional Z defined on a space of real-valued functions {\mathcal F} is called a valuation if
\[ Z(f\vee g)+Z(f\wedge g)=Z(f) +Z(g)\]
for all $f,g\in {\mathcal F}$ such that
the pointwise maximum $f\vee g$ and the pointwise minimum $f\wedge g$ are in $ {\mathcal F}$. The important classical notion of valuations on convex bodies in $\mathbb R^n$ is a special case of the rather recent notion of valuations on function spaces.
We present new results on valuations on spaces of convex functions on ${\mathbb R}^n$ and continuous functions on ${\mathbb S}^{n-1}$. In particular, we discuss classification results for measure-valued valuations.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.language.iso
en
-
dc.subject
valuation
en
dc.subject
Monge-Ampère measure
en
dc.title
Recent Advances in Valuations on Function Spaces
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.relation.grantno
P 34446-N
-
dc.type.category
Conference Presentation
-
tuw.publication.invited
invited
-
tuw.project.title
Bewertungen auf konvexen Funktionen
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
tuw.author.orcid
0000-0002-7389-6720
-
tuw.event.name
Workshop: High-dimensional Phenomena: Geometric and Probabilistic Aspects
en
tuw.event.startdate
11-03-2024
-
tuw.event.enddate
15-03-2024
-
tuw.event.online
On Site
-
tuw.event.type
Event for scientific audience
-
tuw.event.place
Bonn
-
tuw.event.country
DE
-
tuw.event.institution
Hausdorff Institut, Bonn
-
tuw.event.presenter
Ludwig, Monika
-
tuw.event.track
Single Track
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.languageiso639-1
en
-
item.openairetype
conference paper not in proceedings
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/c_18cp
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.orcid
0000-0002-7389-6720
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
