Singular numbers of contractions in spaces with an indefinite metric and Yamamoto's theorem

DOI10.1016/S0024-3795(98)10187-8zbMath0940.47030OpenAlexW2077191975WikidataQ127207731 ScholiaQ127207731MaRDI QIDQ1300896

Israel Gohberg, Asher Ben-Artzi

Publication date: 16 July 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10187-8

zbMATH Keywords

singular numbersindefinite inner product spacesapproximation property\(G\)-bounded matrixhermitian pencil

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Quadratic and bilinear forms, inner products (15A63) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Classes of plus matrices in finite dimensional indefinite scalar product spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A minimax characterization for eigenvalues of Hermitian pencils. II
• Trace minimization and definiteness of symmetric pencils
• Unitary equivalence in an indefinite scalar product: An analogue of singular-value decomposition
• On contractions in spaces with an indefinite metric: G-norms and spectral radii
• On the extreme values of the roots of matrices
• A minimax characterization for eigenvalues of Hermitian pencils
• Variational and numerical methods for symmetric matrix pencils
• Variational Principles without Definiteness Conditions
• Minimaxprinzipe zur Bestimmung der Eigenwerte $J$-nichtnegativer Operatoren.
• A Variational Principle in Krein Space
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

This page was built for publication: Singular numbers of contractions in spaces with an indefinite metric and Yamamoto's theorem