The algebraic structure of \(H\)-dissipative operators in a finite-dimensional space

DOI10.1007/BF02308753zbMath0921.47034OpenAlexW1977564236MaRDI QIDQ1272271

A. I. Barsukov, Tomas Ya. Azizov

Publication date: 11 April 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02308753

zbMATH Keywords

\(H\)-dissipative operatorsindefinite \(H\)-spaceJordan representationsmaximal semidefinite invariant subspaces

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Invariant subspaces of linear operators (47A15) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear accretive operators, dissipative operators, etc. (47B44) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces ⋮ Simple forms and invariant subspaces of \(H\)-expansive matrices ⋮ Basic classes of matrices with respect to quaternionic indefinite inner product spaces

Cites Work

• Self\(adjoint\) quadratic operator pencils and elliptic problems
• Matrices and indefinite scalar products
• Nondegenerate Jordan subspaces of self-adjoint operators in indefinite spaces
• Dissipative matrices and invariant maximal semidefinite subspaces
• Some Spectral Properties of Contractive and Expansive Operators in Indefinite Inner Product Spaces
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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