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

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

2005-12-27

arxiv.org/abs/math/0512582v1

Linear Algebra and its Applications, 241-243 (1996), 455-517

Mathematics

Functional Analysis

42 pages

Scientific paper

10.1016/0024-3795(95)00605-2

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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