On indecomposable normal matrices in spaces with indefinite salar product

DOI10.1016/S0024-3795(96)00247-9zbMath0880.15034arXivmath/0512585OpenAlexW2085106856WikidataQ127814401 ScholiaQ127814401MaRDI QIDQ1362630

O. V. Holtz

Publication date: 8 February 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512585

zbMATH Keywords

eigenvaluesHermitian operatorranknormal operatorindefinite scalar productindecomposable normal matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Quadratic and bilinear forms, inner products (15A63)

Related Items (4)

Normal matrices and polar decompositions indefinite inner products ⋮ Research problem: indefinite inner product normal matrices ⋮ On commuting compact self-adjoint operators on a Pontryagin space ⋮ Classes of normal matrices in indefinite inner products

Cites Work

• On classification of normal operators in real spaces with indefinite scalar product
• On classification of normal matrices in an indefinite scalar product
• Classification of normal operators in spaces with indefinite scalar product of rank 2

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