기초과학 자율운영 중점연구소

수학과에서 아래와 같이 colloquium를 실시합니다.

많은 관심과 참여 부탁드립니다.

주관: 기초과학연구소(자율운영 중점연구소지원사업)

일시: 2024년 10월 10일 목요일 16:30

장소: 팔달관 621호

연사: 정민구 박사(고등과학원 허준이수학난제연구소)

주제: On the Radon-Nikodym property

Abstract: The Radon-Nikodym property (RNP) is one of the most significant concepts in Banach space theory, with over thirty equivalent formulations. It has been shown that the RNP is closely connected to Banach space-valued measures, $L_1$ operator representation theory, absolutely summing and nuclear operators on $C(K)$, martingales of Bochner integrable functions, and much more. In this talk, I will briefly review some well-known facts about the RNP. Additionally, the study of Lipschitz-free spaces lies at the intersection of Functional Analysis and Metric Geometry and is regarded as a fundamental object in non-linear Functional Analysis. We will conclude by exploring conditions under which a Lipschitz-free space, as a Banach space, possesses the RNP.