Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614583 | Journal of Mathematical Analysis and Applications | 2016 | 31 Pages |
Abstract
It is known that a closed linear operator A, defined densely on a Banach space X, is non-negative if and only if −A generates a bounded analytic γ -times resolvent family for some 0<γ<20<γ<2. In this paper, by using such resolvent families as well as the Komatsu representations, we characterize systematically the domains of fractional powers of non-negative operators on Banach spaces. Gaps between the subset ⋃α>0D(Aα)⋃α>0D(Aα) and the whole space X are discussed as well.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chuang Chen, Miao Li,