The pair of operators \(T^{[*]}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms
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Publication:607774
DOI10.1007/S00020-010-1830-7zbMath1219.47057OpenAlexW2037258091MaRDI QIDQ607774
Michał Wojtylak, André C. M. Ran
Publication date: 3 December 2010
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-010-1830-7
Hermitian, skew-Hermitian, and related matrices (15B57) Dilations, extensions, compressions of linear operators (47A20) Linear operators on spaces with an indefinite metric (47B50)
Related Items (2)
Local definitizability of \(T^{[\ast}T\) and \(TT^{[\ast]}\)] ⋮ \(\mathcal{J}\)-selfadjoint Krein space operators and Aluthge transforms
Cites Work
- Procrustes problems in finite dimensional indefinite scalar product spaces
- Analysis of spectral points of the operators \(T^{[*} T\) and \(TT ^{[*]}\) in a Krein space]
- Polar decompositions in finite dimensional indefinite scalar product spaces: General theory
- Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\).
- Unitary equivalence in an indefinite scalar product: An analogue of singular-value decomposition
- On the relation between XX^[✻ and X^[✻]X in an indefinite inner product space]
- Elementary Divisors of AB and BA
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