On Initial Data of a Simple Conservative Scattering System That Can Be Transferred to Zero by a Sequence of Inputs from l ²
Abstract
We describe the lineal of initial data of a simple conservative scattering system which can be transferred to zero by a sequence from l ².
The proof is based on the known connection between the Lax - Phillips scattering theory and the theory of unitary operator nodes developed by B. Szokefalvi - Nagy, C. Foias, and M. S. Brodskii.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 4, pp 671-677.
Citation Example: Nudel'man M. A. On Initial Data of a Simple Conservative Scattering System That Can Be Transferred to Zero by a Sequence of Inputs from l ² // Ukr. Mat. Zh. - 2005. - 57, № 4. - pp. 559–563.
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