Data di Pubblicazione:
2014
Citazione:
Conditionally evenly convex sets and evenly quasi-convex maps / M. Frittelli, M. Maggis. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 413:1(2014), pp. 169-184.
Abstract:
Evenly convex sets in a topological vector space are defined as the intersection of a family of open half spaces. We introduce a generalization of this concept in the conditional framework and provide a generalized version of the bipolar theorem. This notion is then applied to obtain the dual representation of conditionally evenly quasi-convex maps, which turns out to be a fundamental ingredient in the study of quasi-convex dynamic risk measures.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Evenly convex set; Separation theorem; Bipolar theorem; L-0-modules; Nonlinear conditional expectation; Quasi-convex risk measures
Elenco autori:
M. Frittelli, M. Maggis
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