컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0215 |
|---|---|
| 분류(Section) | Invited Lecture |
| 분과(Session) | (AN) Analysis (AN) |
| 발표시간(Time) | 20th-O-15:50 -- 16:30 |
| 영문제목 (Title(Eng.)) |
[2023년 대한수학회 상산젊은수학자상 수상강연] On Lipschitz-free spaces |
| 저자(Author(s)) |
Mingu Jung1 KIAS1 |
| 초록본문(Abstract) | The Lipschitz-free space $\mathcal{F}(M)$ over a metric space $M$ is a unique Banach space that contains an isometric copy of $M$ that is linearly dense. It also satisfies a crucial universal property: any Lipschitz mapping from $M$ into a Banach space $X$ extends to a bounded linear operator from $\mathcal{F}(M)$ into $X$. This universal property gives rise to a functor from the category of metric spaces to the category of Banach spaces, emphasizing the foundational role of Lipschitz-free spaces in studies of the nonlinear geometry of Banach spaces. In this talk, we examine some geometric and structural properties of Lipschitz-free spaces. |
| 분류기호 (MSC number(s)) |
46B20, 51F30 |
| 키워드(Keyword(s)) | Lipschitz-free space, Lipschitz functions, Banach spaces |
| 강연 형태 (Language of Session (Talk)) |
Korean |