On determining the domain of the adjoint operator
Functional Analysis
2011-06-13 v2 Spectral Theory
Abstract
A theorem that is of aid in computing the domain of the adjoint operator is provided. It may serve e.g. as a criterion for selfadjointness of a symmetric operator, for normality of a formally normal operator or for --selfadjointness of an --symmetric operator. Differential operators and operators given by an infinite matrix are considered as examples.
Cite
@article{arxiv.1102.4969,
title = {On determining the domain of the adjoint operator},
author = {Michal Wojtylak},
journal= {arXiv preprint arXiv:1102.4969},
year = {2011}
}