Speaker：Lei Li（Nankai University）

Time：2021-12-03 10:30

Location：Tencent Meeting ID：761 431 046（No Password）

Abstract:

Suppose that X, Y are compact Hausdorff spaces and G, H are point separating subgroups of C(X)+, C(Y)+. Let T: G-->H be a surjective map satisfying T1=1 and 1/M ‖fg^(-1) ‖≤‖Tf〖(Tg)〗^(-1) ‖≤M‖fg^(-1) ‖ for some M>0. We will show that there is a homeomorphism between the Silov boundaries such that (f(τ(y)))/M^2 ≤Tf(y)≤M^2 f(τ(y)). Moreover, M^2 is the optimal. This is the joint work with Yunbai Dong, Denny Leung and Liguang Wang.