# WykÅ‚ad prof. Anny Rity Sambucini

22 marca o 9.30 w sali posiedzeÅ„ Rady WydziaÅ‚u, goÅ›Ä‡ z Perugii, prof. Anna Rita Sambucini przedstawi wykÅ‚ad "Multivalued gauge integrals and selections".Â Wszystkich z PaÅ„stwa gorÄ…co zachÄ™camy i zapraszamy do wysÅ‚uchania wykÅ‚adu.

Abstract:
After the pioneering works of Aumann and Debreu, the theory of multivalued functions has been intensively studied and several notions of integral have been developed using different techniques. These notions have shown to be useful when modeling someÂ theories in different fields as optimal control andÂ mathematical economics. The choice to deal with these types of integration is motivated by the fact that a very important tool in this framework is the Kuratowski and Ryll-Nardzewski theorem whichÂ guarantees the existence of measurable selectors, though this famous result requires the separability of the range space X. Existence of selections integrable in the same sense of the corresponding multifunctions has been proven for some gaugeÂ integrals in the hyperspace cwk(X) (ck(X)) of convex and weakly compact (compact) subsets of a general Banach space X.

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