The existence of a homogeneous decomposition for continuous and epi-translation invariant valuations on super-coercive functions is established. Continuous and epi-translation invariant valuations that are epi-homogeneous of degree n are classified. By duality, corresponding results are obtained for valuations on finite-valued convex functions.
A homogeneous decomposition theorem for valuations on convex functions / Colesanti A.; Ludwig M.; Mussnig F.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - ELETTRONICO. - 279:(2020), pp. 1-25. [10.1016/j.jfa.2020.108573]
A homogeneous decomposition theorem for valuations on convex functions
Colesanti A.
;
2020
Abstract
The existence of a homogeneous decomposition for continuous and epi-translation invariant valuations on super-coercive functions is established. Continuous and epi-translation invariant valuations that are epi-homogeneous of degree n are classified. By duality, corresponding results are obtained for valuations on finite-valued convex functions.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1908.10724.pdf
accesso aperto
Descrizione: Preprint
Tipologia:
Altro
Licenza:
Tutti i diritti riservati
Dimensione
236.22 kB
Formato
Adobe PDF
|
236.22 kB | Adobe PDF | |
1-s2.0-S0022123620301166-main.pdf
Accesso chiuso
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
451.47 kB
Formato
Adobe PDF
|
451.47 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.