Note on fractional powers of linear operators
Note on fractional powers of linear operators
In the preceding paper by K. Yosida, ) it is shown that the frac- tional power A , 0<a<l, of a linear operator A in a Banach space X can be constructed whenever--A is the infinitesimal generator of a strongly continuous, bounded semi-group {exp(--tA)}, and that--A also generates a semi-group …