We characterize the valuations on the space of quasi-concave functions defined on the N-dimensional Euclidean space, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.

Valuations on the space of quasi-concave functions / Colesanti, Andrea; Lombardi, Nico. - STAMPA. - (2017), pp. 71-105. [10.1007/978-3-319-45282-1_6]

Valuations on the space of quasi-concave functions

Andrea Colesanti;Nico Lombardi
2017

Abstract

We characterize the valuations on the space of quasi-concave functions defined on the N-dimensional Euclidean space, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.
2017
978-3-319-45281-4
Geometric Aspects of Functional Analysis
71
105
Colesanti, Andrea; Lombardi, Nico
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1102096
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