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Classification of normal operators in spaces with indefinite scalar product of rank 2

Olga Holtz·Vladimir Strauss
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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.

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Olga Holtz, Vladimir Strauss. 2005-12-27. Classification of normal operators in spaces with indefinite scalar product of rank 2. https://doi.org/10.1016/0024-3795(95)00605-2

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