[AN] Chenxi Deng: Strongly Kreiss Bounded Operators in UMD Banach Spaces

14 November 2023 16:00 till 17:00 - Location: Chip (36.HB.01.600) | Add to my calendar

In this talk, we will study the growth estimates for the operator norm of T^n in the case T is a strongly Kreiss bounded operator on a UMD Banach space X. The known growth rate for a strongly Kreiss bounded operator on a general Banach space is 1/2, which we shall improve if X is a UMD Banach space. In particular, we provide explicit growth rates for intermediate UMD spaces such as non-commutative L^p-spaces and variable Lebesgue spaces. Our result also includes the known results for Hilbert and L^p-spaces.