RT Journal Article
T1 Radial continuous valuations on star bodies
A1 Villanueva Díez, Ignacio
A1 Tradacete Pérez, Pedro
AB We show that a radial continuous valuation defined on the n-dimensional star bodies extends uniquely to a continuous valuation on the n-dimensional bounded star sets. Moreover, we provide an integral representation of every such valuation, in terms of the radial function, which is valid on the dense subset of the simple Borel star sets. Along the way, we also show that every radial continuous valuation defined on the n-dimensional star bodies can be decomposed as a sum V=V+−V−, where both V+ and V− are positive radial continuous valuations.
PB Elsevier
SN 0022-247X
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17964
UL https://hdl.handle.net/20.500.14352/17964
LA eng
NO Tradacete Pérez, P. & Villanueva Díez, I. «Radial Continuous Valuations on Star Bodies». Journal of Mathematical Analysis and Applications, vol. 454, n.o 2, octubre de 2017, pp. 995-1018. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2017.05.026.
NO Ministerio de Economía, Comercio y Empresa (España)
NO Comunidad de Madrid
DS Docta Complutense
RD 9 abr 2025