Classification of normal operators in spaces with indefinite scalar product of rank 2
Copyright policy )Classification of normal operators in spaces with indefinite scalar product of rank 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.
42 pages
Numerical Analysis, Algebra and Number Theory, 47B50, 46C20, 47B15, 15A21, Mathematics - Rings and Algebras, Functional Analysis (math.FA), Mathematics - Functional Analysis, Linear operators on spaces with an indefinite metric, indefinite scalar product, Rings and Algebras (math.RA), normal operators, FOS: Mathematics, Hermitian and normal operators (spectral measures, functional calculus, etc.), Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology
Numerical Analysis, Algebra and Number Theory, 47B50, 46C20, 47B15, 15A21, Mathematics - Rings and Algebras, Functional Analysis (math.FA), Mathematics - Functional Analysis, Linear operators on spaces with an indefinite metric, indefinite scalar product, Rings and Algebras (math.RA), normal operators, FOS: Mathematics, Hermitian and normal operators (spectral measures, functional calculus, etc.), Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology
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