Abstract:
Questions are considered related to the application of the methods of the theory of rigged Hilbert spaces to the theory of extending Hermitian operators.
Citation:
È. R. Tsekanovskii, Yu. L. Shmul'yan, “Questions in the theory of the extension of unbounded operators in rigged Hilbert spaces”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 14, VINITI, Moscow, 1977, 59–100; J. Soviet Math., 12:3 (1979), 283–310
\Bibitem{TseShm77}
\by \`E.~R.~Tsekanovskii, Yu.~L.~Shmul'yan
\paper Questions in the theory of the extension of unbounded operators in rigged Hilbert spaces
\serial Itogi Nauki i Tekhn. Ser. Mat. Anal.
\yr 1977
\vol 14
\pages 59--100
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intm39}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487539}
\zmath{https://zbmath.org/?q=an:0481.47008|0481.47008}
\transl
\jour J. Soviet Math.
\yr 1979
\vol 12
\issue 3
\pages 283--310
\crossref{https://doi.org/10.1007/BF01098369}
Linking options:
https://www.mathnet.ru/eng/intm39
https://www.mathnet.ru/eng/intm/v14/p59
This publication is cited in the following 6 articles:
Vladimir A. Zolotarev, Lecture Notes in Mathematics, 2355, Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators, 2025, 285
Fritz Gesztesy, Operator Theory: Advances and Applications, 291, From Complex Analysis to Operator Theory: A Panorama, 2023, 11
V. A. Zolotarev, “Properties of characteristic function of commutative system of unbounded nonselfadjoint operators”, Zhurn. matem. fiz., anal., geom., 6:2 (2010), 192–228
V. A. Zolotarev, “On commutative systems of nonselfadjoint unbounded linear operators”, Zhurn. matem. fiz., anal., geom., 5:3 (2009), 275–295
S. N. Naboko, “Boundary values of analytic operator functions with a positive imaginary part”, J Math Sci, 44:6 (1989), 786
S. A. Kuzhel, L. I. Rudenko, “Description of regular extensions of Hermitian operators”, Funct. Anal. Appl., 16:1 (1982), 61–62