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

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

2005-12-27

arxiv.org/abs/math/0512584v1

Linear Algebra and its Applications, 255 (1997), 113-155

Mathematics

Functional Analysis

26 pages

Scientific paper

10.1016/S0024-3795(95)00770-9

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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