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On classification of normal operators in real spaces with indefinite scalar product

Functional Analysis 2007-05-23 v1 Rings and Algebras

Abstract

A real finite-dimensional space with indefinite scalar product having v- negative squares and v+ positive ones is considered. The paper presents a classification of operators that are normal with respect to this product for the cases min{v-, v+} = 1, 2. The approach used here was developed in papers by Gohberg and Reichstein and by the authors, where a similar classification was obtained for complex spaces with v = min{v-,v+} = 1, 2, respectively.

Cite

@article{arxiv.math/0512584,
  title  = {On classification of normal operators in real spaces with indefinite scalar product},
  author = {Olga Holtz and Vladimir Strauss},
  journal= {arXiv preprint arXiv:math/0512584},
  year   = {2007}
}

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26 pages