TY - JOUR
AU - Yin Chen
PY - 2020/03/25
Y2 - 2020/04/04
TI - Bounds for uniform resolvent conditions
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 51
IS - 1
SE - Papers
DO - 10.5556/j.tkjm.51.2020.2871
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2871
AB - For a bounded linear operator on a Banach space, the uniform resolvent condition implies the absolute summability of the powers of the operator. In this paper, we study the bounds for the absolute sum of the powers of an operator that satisfies the uniform resolvent condition. Some known bounds on general Banach spaces as well as on finite-dimensional Banach spaces are improved.
ER -