Abstract
One formulates existence conditions and certain properties of a special class of unconditional bases in a Hilbert space. One formulates consequences of these conditions for the system of eigenfunctions of the restriction operator, conjugate to the shift operator, and for the system of the resonance states of a certain scattering problem.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 127, pp. 201–208, 1983.
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Shubova, M.A. Nearness of the Riesz bases to orthonormal bases in a Hilbert space. J Math Sci 27, 2673–2677 (1984). https://doi.org/10.1007/BF01103728
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DOI: https://doi.org/10.1007/BF01103728