On indecomposable normal matrices in spaces with indefinite scalar product
Functional Analysis
2007-05-23 v1 Rings and Algebras
Abstract
Finite dimensional linear spaces (both complex and real) with indefinite scalar product [.,.] are considered. Upper and lower bounds are given for the size of an indecomposable matrix that is normal with respect to this scalar product in terms of specific functions of v = min{v-, v+}, where v-, (v+) is the number of negative (positive) squares of the form [x,x]. All the bounds except for one are proved to be strict.
Cite
@article{arxiv.math/0512585,
title = {On indecomposable normal matrices in spaces with indefinite scalar product},
author = {Olga Holtz},
journal= {arXiv preprint arXiv:math/0512585},
year = {2007}
}
Comments
9 pages