Event
01_1
| 제출번호(No.) | 0082 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Probability and Statistics (PS) |
| 영문제목 (Title(Eng.)) |
Inequalities for positive module operators on von Neumann algebras |
| 저자(Author(s)) |
Byoung Jin Choi1, Un Cig Ji1, Yongdo Lim2 Chungbuk National University1, Sungkyunkwan University2 |
| 초록본문(Abstract) | In this talk, we establish the Cauchy-Schwarz and Golden-Thompson inequalities for module operators, a generalization of a (noncommutative) conditional expectation, on a von Neumann algebra. We also apply these inequalities to the Bennett inequality and a uncertainty relation, a generalization of the Schr\"{o}dinger uncertainty relation, for conditional expectations. |
| 분류기호 (MSC number(s)) |
46L53, 47A63, 81P45 |
| 키워드(Keyword(s)) | module operator, conditional expectation, Golden-Thompson inequality, Bennett inequality, Schr\"{o}dinger uncertainty relation. |
| 강연 형태 (Language of Session (Talk)) |
Korean |