Rademacher bounded families of operators on L-1

摘要

We give a characterization of R-bounded families of operators on L-1. We then use this result to study sectorial operators on L-1. We show that if A is an R-sectorial operator on L-1, then, for any is an element of > 0, there is an invertible operator U:L-1 -> L-1 with parallel to U - I parallel to