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

Olga Holtz·Vladimir Strauss
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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.

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Olga Holtz, Vladimir Strauss. 2005-12-27. On classification of normal operators in real spaces with indefinite scalar product. https://doi.org/10.1016/s0024-3795(95)00770-9

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