A remark about the interpolation of spaces of continuous, vector-valued functions

作者:Bu SQ; Chill R*
来源:Journal of Mathematical Analysis and Applications, 2003, 288(1): 246-250.
DOI:10.1016/j.jmaa.2003.08.007

摘要

If A is a sectorial operator on a Banach space X, then the space C([0, 1]; (X, D(A))theta,infinity) is a subspace of the interpolation space (C([0, 1]; X), C([0, 1]; D(A)))theta,infinity. The inclusion is strict in general.