The paper is devoted to Ky Fan minimax equality for convex subsets of L^1 that are closed in measure; in general such sets do not carry any frmal compactness properties for any reasonable topology. The minimax theorem is proven under mild convexity assumptions, such as finite midpoint convex-likeness plus quasi convexity. In the last section we sketch some possible directions for applications
On minimax theorems for sets closed in measure
MARTELLOTTI, Anna
2004
Abstract
The paper is devoted to Ky Fan minimax equality for convex subsets of L^1 that are closed in measure; in general such sets do not carry any frmal compactness properties for any reasonable topology. The minimax theorem is proven under mild convexity assumptions, such as finite midpoint convex-likeness plus quasi convexity. In the last section we sketch some possible directions for applicationsFile in questo prodotto:
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