|
Zapiski Nauchnykh Seminarov 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.
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
Linking options:
https://www.mathnet.ru/eng/znsl327 https://www.mathnet.ru/eng/znsl/v327/p115
|
Statistics & downloads: |
Abstract page: | 275 | Full-text PDF : | 152 | References: | 41 |
|