Representation Theorems for Indefinite Quadratic Forms Revisited
Functional Analysis
2012-06-15 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
The first and second representation theorems for sign-indefinite, not necessarily semi-bounded quadratic forms are revisited. New straightforward proofs of these theorems are given. A number of necessary and sufficient conditions ensuring the second representation theorem to hold is proved. A new simple and explicit example of a self-adjoint operator for which the second representation theorem does not hold is also provided.
Cite
@article{arxiv.1003.1908,
title = {Representation Theorems for Indefinite Quadratic Forms Revisited},
author = {Luka Grubisic and Vadim Kostrykin and Konstantin A. Makarov and Kresimir Veselic},
journal= {arXiv preprint arXiv:1003.1908},
year = {2012}
}
Comments
This work is supported in part by the Deutsche Forschungsgemeinschaft