Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\).

DOI10.1007/BF01197860zbMath1045.47034OpenAlexW2044590808MaRDI QIDQ1865927

André C. M. Ran, Leiba Rodman, Cornelis V. M. van der Mee

Publication date: 25 August 2003

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197860

zbMATH Keywords

polar decompositionoperators on Pontryagin spaces

Mathematics Subject Classification ID

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 (4)

Spectrum of J-frame operators ⋮ Extension to maximal semidefinite invariant subspaces for hyponormal matrices in indefinite inner products ⋮ Skew \(\phi\) polar decompositions ⋮ The pair of operators \(T^{[*}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms]

Cites Work

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• Polar decompositions in finite dimensional indefinite scalar product spaces: General theory
• Unitary equivalence in an indefinite scalar product: An analogue of singular-value decomposition
• Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces
• Real Hamiltonian Polar Decompositions
• Normal matrices and polar decompositions indefinite inner products
• Extension of Isometries in Finite-Dimensional Indefinite Scalar Product Spaces and Polar Decompositions

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