Representation of complex powers of C-sectorial operators

Abstract

The paper is devoted to the study of representation of complex powers of closed linear operators whose negatives generate equicontinuous (g α, C)-regularized resolvent families (0 < α ≤ 2) on sequentially complete locally convex spaces. Several interesting formulas regarding powers and their domains are proved. © 2014 Versita Warsaw and Springer-Verlag Wien.