Indefinite inner-product spaces associated with Hermitian polynomial matrices

DOI10.1016/0024-3795(83)90071-XzbMath0507.15018OpenAlexW2169281400MaRDI QIDQ1837267

Harald K. Wimmer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90071-x

zbMATH Keywords

shift operatorsnonsingular hermitian polynomial 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)

Related Items

On Hamiltonian rational transfer functions ⋮ Hermitian polynomial matrices, isometries and inertial signs ⋮ On symmetric rational transfer functions

Cites Work

• Spectral analysis of selfadjoint matrix polynomials
• Algebraic system theory: An analyst's point of view
• Realization of systems with internal passivity and symmetry constraints
• Duality in polynomial models with some applications to geometric control theory
• The structure of nonsingular polynomial matrices
• Mathematical Description of Linear Dynamical Systems
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