Mini Workshop on Noncommutative Analysis

Mini Workshop on Noncommutative Analysis

In this workshop, we have invited several scholars to report their recent work on noncommutative analysis.

Time: July 17, 2018---July 19, 2018

Hotel: Fushengyuan hotel

Place of Reports: School of Mathematics and Statistics 145, CSU

Reports

July 18, 8:30-10:00

Narcisse Randrianantoanina, Miami University

Title: Noncommutative martingale Hardy spaces for $0<p<1$

Abstract: We will discuss the current status of  the long standing problem on atomic decomposition for martingales in the column Hardy space constructed from conditioned  square functions (usually denoted by ${\rm h}_p^c$) for $0<p<1$. We will try to explain why our method fully solves the case $p=1$ (with concrete construction) but still presents limitations for the case $0<p<1$. The method however is strong enough to solve the problem on the description of the dual of ${\rm h}_p^c$ when $0<p<1$ (previously known for the special case of noncommutative dyadic martingales). This is joint work with Q. Xu.

July 18, 10:00-10:15

Tea break

July 18, 10:15-11:45

Wang Maofa (王茂发), Wuhan University

Title: Operator Theory on Noncommutative Domains

Abstract: The classical Sz.-Nagy-Foias theory is an important branch of functional analysis. This theory has many applications in dilation theory, operator model theory, scattering theory, and linear system theory. In recent twenty years, noncommutative multivariable analogues of Sz.-Nagy-Foias theory have some development, and have produced many new techniques. In this talk, we develop

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