The inverse spectral problem for selfadjoint Hankel operators
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Publication:1901116
DOI10.1007/BF02392468zbMath0865.47015OpenAlexW1976047242MaRDI QIDQ1901116
Vladimir V. Peller, Alexandre Megretski, S. R. Treil'
Publication date: 14 July 1997
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02392468
selfadjoint operatorsstationary processesbalanced realizationlinear dynamical systemspectral multiplicitiesone-dimensional inputone-dimensional outputunitarily equivalent to a Hankel operator
Linear symmetric and selfadjoint operators (unbounded) (47B25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)
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Cites Work
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- Spectral theory of self-adjoint Hankel matrices
- A note on a system theoretic approach to a conjecture by Peller- Khrushchev
- Symmetric Hankel operators: Minimal norm extensions and eigenstructures
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Bilinear Transformation of Infinite-Dimensional State-Space Systems and Balanced Realizations of Nonrational Transfer Functions
- Realization theory in Hilbert space
- Hankel operators, best approximations, and stationary Gaussian processes
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- On the Spectra of Bounded, Hermitian, Hankel Matrices
- A Note on a System Theoretic Approach to a Conjecture by Peller-Khrushchev: The General Case