Lecture Content：

Let B(Ω) be a Banach space of holomorphic functions on a bounded connected domain Ω in Cn. In this talk, we establish a criterion for B(Ω) to be reflexive via evaluation functions on B(Ω), that is, B(Ω) is reflexive if and only if the evaluation functions span the dual space (B(Ω))?.

Speaker Introduction:

Li He is a Professor and Doctoral Supervisor at Guangzhou University. Her main research focuses on operators and operator algebras on function spaces. In recent years, she has conducted a series of important studies addressing key open problems in analytic Sobolev-type spaces and their associated operators and operator algebras, achieving breakthrough progress. She has published over 30 academic papers in mathematical journals including J. Funct. Anal., Math. Z., J. Operator Theory, Proc. Amer. Math. Soc., Bull. London Math. Soc., and Banach J. Math. Anal.. She has presided over 1 Youth Project of the National Natural Science Foundation of China, 2 General Projects of the National Natural Science Foundation of China, 1 project of the Department of Education of Guangdong Province, and 1 project of the Bureau of Education of Guangzhou City. She was once awarded the title of "Most Popular Teacher among Students at Guangzhou University" and won the "Second Prize of Guangdong Province in the 2nd National College Microlecture Teaching Competition".