Representation Theorems for indefinite quadratic forms without spectral gap
Functional Analysis
2015-09-25 v1 Spectral Theory
Abstract
The First and Second Representation Theorem for sign-indefinite quadratic forms are extended. We include new cases of unbounded forms associated with operators that do not necessarily have a spectral gap around zero. The kernel of the associated operators is determined for special cases. This extends results by Grubi\v{s}i\'c, Kostrykin, Makarov and Veseli\'c in [Mathematika 59 (2013), 169--189].
Cite
@article{arxiv.1409.2409,
title = {Representation Theorems for indefinite quadratic forms without spectral gap},
author = {Stephan Schmitz},
journal= {arXiv preprint arXiv:1409.2409},
year = {2015}
}
Comments
19 pages