Local definitizability of \(T^{[\ast]}T\) and \(TT^{[\ast]}\)
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Publication:429731
DOI10.1007/S00020-011-1913-0zbMath1272.47006arXiv1004.1584OpenAlexW1638500461MaRDI QIDQ429731
Friedrich Philipp, Michał Wojtylak, André C. M. Ran
Publication date: 20 June 2012
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.1584
Related Items (4)
Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators ⋮ Right (or left) invertibility of bounded and unbounded operators and applications to the spectrum of products ⋮ Spectral functions of products of selfadjoint operators ⋮ \(\mathcal{J}\)-selfadjoint Krein space operators and Aluthge transforms
Cites Work
- The pair of operators \(T^{[*}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms]
- Corrigendum to: A Krein space approach to \(PT\) symmetry
- A Krein space approach to \(PT\) symmetry
- Analysis of spectral points of the operators \(T^{[*} T\) and \(TT ^{[*]}\) in a Krein space]
- On a class of selfadjoint operators in Krein space and their compact perturbations
- Locally definite operators in indefinite inner product spaces
- Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of self-adjoint operators in Krein spaces
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