Fractional powers of non-negative operators in Banach spaces via the Dirichlet-to-Neumann operator
Functional Analysis
2017-09-13 v3
Abstract
We consider fractional powers of non-densely defined non-negative operators in Banach spaces defined by means of the Balakrishnan operator. Under mild assumptions on the operator we show that the fractional powers can partially be obtained by a generalised Dirichlet-to-Neumann operator for a Bessel-type differential equation.
Keywords
Cite
@article{arxiv.1704.01876,
title = {Fractional powers of non-negative operators in Banach spaces via the Dirichlet-to-Neumann operator},
author = {Jan Meichsner and Christian Seifert},
journal= {arXiv preprint arXiv:1704.01876},
year = {2017}
}