Classification of normal operators in spaces with indefinite scalar product of rank 2
Functional Analysis
2007-05-23 v1 Rings and Algebras
Abstract
A finite-dimensional complex space with indefinite scalar product [.,.] having v- = 2 negative squares and v+ >= 2 positive ones is considered. The paper presents a classification of operators that are normal with respect to this product. It is related to the study by Gohberg and Reichstein in which a similar classification was obtained for the case v = min{v-, v+} = 1.
Cite
@article{arxiv.math/0512582,
title = {Classification of normal operators in spaces with indefinite scalar product of rank 2},
author = {Olga Holtz and Vladimir Strauss},
journal= {arXiv preprint arXiv:math/0512582},
year = {2007}
}
Comments
42 pages