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학술대회/행사

초록검색

제출번호(No.) 0576
분류(Section) Invited Talk
분과(Session) Functional Analysis and Applications (SS-09)
영문제목
(Title(Eng.))
Operator analogue of Mahler's measure
저자(Author(s))
Kunyu Guo1
School of Mathenatical Sciences, Fudan University1
초록본문(Abstract) This talk will be associated with two new heights defined by bounded linear operator acting on Hilbert space, inspired by the famous Mahler's measure. We obtain some interesting equalities and inequalities of these heights related to operator Mahler's measure. We also describe when these heights are multiplicative. Finally, the operator version of Lehmer's conjecture is discussed. This is a joint work with Jiayang Yu.
분류기호
(MSC number(s))
47B
키워드(Keyword(s)) Mahler's measure, Lehmer's conjecture
강연 형태
(Language of Session (Talk))
English