首页>>活动列表>>学术活动>>正文

### 第九届全国算子理论与算子代数会议

 活动品牌 大连理工大学-学术活动 主 讲 人 专家学者 活动地点 大连香洲大饭店 开始时间 2017-10-28 08:00 结束时间 2017-10-29 17:00

## 活动简介：

\item What does one get if one combines the theory of Arveson's noncommutative Hardy's spaces and unitarily invariant norms?\end{enumerate}
In this talk, replacing the $\|\|_p-$norms with unitarily invariant norms, we are going to introduce the generalized Hardy spaces and extend many classical results in the commutative and noncommutative Hardy spaces.

unitary in freedom operator-sum representation for a given channel are no longer valid for infinite dimensional systems. Instead, what we can establish are the contractive freedom in ensemble and the contractive freedom  in operator-sum representation. Namely, we show that,
(1) two ensembles   and  determine the same state if and only if there exists some contractive matrix   such that  for each  ;
(2) two sequences  and  of Kraus operators in operator-sum representations determine the same channel if and only if there exists some contractive matrix   such that   for each  .

1 该空间中的一类重要子空间及相关性质;
3装球常数的下界估计;
4 非交换 Orlicz 序列空间及若干几何性质.

We show that under suitable assumptions, a groupod with Exel's strong property is Fredholm. Finally we obtain the following theorem: if $\mathcal{G}$ is a locally compact, second countable, and Hausdorff groupoid with the unit space  , such that all isotropy groups $\mathcal{G}^x_x, x\in M$， are amenable，then $\mathcal{G}$ is metrically amenable and has Exel's strong property. Hence, combining these two results, we obtain a sufficient condition for a groupoid to be Fredholm. This is joint work with Catarina Carvalho and Victor Nistor.

(1) Carleson measures on the Bergman and Dirichle space
(2) Weighted inequalities for the Bergman projection
(3) Toeplitz Operators on the weighted harmonic Bergman space.
These are based on my joint works with Cheng Guozheng, Fang Xiang, Guo Kunyu, Yu Jiayang and Zhao Xianfeng.

: