Because of its importance, many proofs of the Lyapunov Theorem have been given. Nevertheless, the proofs appearing in the literature are rather involved or employ sophisticated theorems from functional analysis, such as the Krein-Milman Theorem, or compactness theorems in infinite-dimensional spaces. A new proof of the Lyapunov Theorem is given, based on the Shapley-Folkman Theorem, that does not require any tools of functional analysis.
A new proof of the Lyapunov convexity theorem
1990
Abstract
Because of its importance, many proofs of the Lyapunov Theorem have been given. Nevertheless, the proofs appearing in the literature are rather involved or employ sophisticated theorems from functional analysis, such as the Krein-Milman Theorem, or compactness theorems in infinite-dimensional spaces. A new proof of the Lyapunov Theorem is given, based on the Shapley-Folkman Theorem, that does not require any tools of functional analysis.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_446994-doc_160980.pdf
non disponibili
Descrizione: A new proof of the Lyapunov convexity theorem
Tipologia:
Versione Editoriale (PDF)
Dimensione
435.97 kB
Formato
Adobe PDF
|
435.97 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
