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Zap. Nauchn. Sem. POMI, 2005, Volume 327, Pages 115–134 (Mi znsl327)  

The Krein string and characteristic functions of non-self-adjoint operators

A. S. Kostenko

Donetsk National University

Abstract: The operator generated by the Krein string is investigated in the framework of the extension theory of symmetric operators. A simple proof of the complete non-self-adjointness of the operator is proposed. The scattering function of the string is obtained with the help of the Derkach–Malamud formula for characteristic functions of almost solvable extensions.

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English version:
Journal of Mathematical Sciences (New York), 2006, 139:2, 6425–6436

Bibliographic databases:

UDC: 517.948
Received: 07.09.2005

Citation: A. S. Kostenko, “The Krein string and characteristic functions of non-self-adjoint operators”, Investigations on linear operators and function theory. Part 33, Zap. Nauchn. Sem. POMI, 327, POMI, St. Petersburg, 2005, 115–134; J. Math. Sci. (N. Y.), 139:2 (2006), 6425–6436

Citation in format AMSBIB
\Bibitem{Kos05}
\by A.~S.~Kostenko
\paper The Krein string and characteristic functions of non-self-adjoint operators
\inbook Investigations on linear operators and function theory. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 327
\pages 115--134
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl327}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2184432}
\zmath{https://zbmath.org/?q=an:1107.47017}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 139
\issue 2
\pages 6425--6436
\crossref{https://doi.org/10.1007/s10958-006-0360-y}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750196091}


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