Abstract Fractional Calculus for Accretive Operators

Maksim Kukushkin

Published 2019-01-18Version 1

In this paper we have made an attempt to generalize some results obtained for some class of non-selfadjoint operators by means of using properties of real component. The central point is a main theorem establishing validity of a number of spectral theorems for some type of positive operator functions. The relevance of such consideration is lot of applications to semigroup theory. More precisely, we can treat considered operator as an operator second order with fractional derivative in the lower terms.