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Colloquium
Seminar information archive ～04/18｜Next seminar｜Future seminars 04/19～
| Organizer(s) | ASUKE Taro, TERADA Itaru, HASEGAWA Ryu, MIYAMOTO Yasuhito (chair) |
|---|---|
| URL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index_e.html |
2008/10/24
16:30-17:30 Room #002 (Graduate School of Math. Sci. Bldg.)
Benoit Collins (オタワ大学・東京大学大学院数理科学研究科)
On the spectral measure of the sum of elements in a finite von Neumann algebra
Benoit Collins (オタワ大学・東京大学大学院数理科学研究科)
On the spectral measure of the sum of elements in a finite von Neumann algebra
[ Abstract ]
Given two self-adjoint n×n matrices A and B with prescribed eigenvalues, the set of all possible spectral distributions for A+B has been conjectured by Horn and proved by Knutson, Tao, Klyachko and Totaro.
We address the same question when A and B have prescribed spectral measures but lie in an arbitrary II_1 factor, and we give elements of answers in terms of inequalities between the spectral measures. We explain the relation with the Connes embedding problem.
Given two self-adjoint n×n matrices A and B with prescribed eigenvalues, the set of all possible spectral distributions for A+B has been conjectured by Horn and proved by Knutson, Tao, Klyachko and Totaro.
We address the same question when A and B have prescribed spectral measures but lie in an arbitrary II_1 factor, and we give elements of answers in terms of inequalities between the spectral measures. We explain the relation with the Connes embedding problem.
