On indecomposable normal matrices in spaces with indefinite scalar product

Details On indecomposable normal matrices in spaces with indefinite scalar product On indecomposable normal matrices in spaces with indefinite scalar product

2005-12-27

arxiv.org/abs/math/0512585v1

Linear Algebra and its Applications, 259 (1997), 155-168

Mathematics

Functional Analysis

9 pages

Scientific paper

10.1016/S0024-3795(96)00247-9

Finite dimensional linear spaces (both complex and real) with indefinite scalar product [.,.] are considered. Upper and lower bounds are given for the size of an indecomposable matrix that is normal with respect to this scalar product in terms of specific functions of v = min{v-, v+}, where v-, (v+) is the number of negative (positive) squares of the form [x,x]. All the bounds except for one are proved to be strict.

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