×

The method of equipped spaces in the theory of extensions of Hermitian operators with a nondense domain of definition. (English. Russian original) Zbl 0292.47020

Sib. Math. J. 15, 169-182 (1974); translation from Sib. Mat. Zh. 15, 243-261 (1974).

MSC:

47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47A20 Dilations, extensions, compressions of linear operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] É. R. Tsekanovskii, ?Generalized selfadjoint extensions of symmetric operators,? Dokl. Akad. Nauk SSSR,178, No. 6, 1267-1270 (1968).
[2] É. R. Tsekanovskii, ?Generalized extensions of nonselfajoint operators,? Matem. Sb.,68 (110), 527-548 (1965).
[3] M. D. Okunskii, The Theory of Generalized Selfadjoint Extensions of Symmetric Operators [in Russian], Thesis, Donetskii State University, Donetsk (1971).
[4] M. A. Krasnosel’skii, ?Selfadjoint extensions of Hermitian operators,? Urainsk. Matem. Zh., No. 1, 21-38 (1949).
[5] N. I. Akhiezer and I. M. Glazman, The Theory of Linear Operators in Hilbert Space [in Russian], ?Nauka,? Moscow (1966). · Zbl 0098.30702
[6] Yu. M. Berezanskii, ?Spaces with negative norm,? Usp. Matem. Nauk,18, No. 1, 63-96 (1963).
[7] M. G. Krein, ?The theory of selfadjoint extensions of semibounded operators,? Matem. Sb.,20, 21, 431-498, 365-404 (1947). · Zbl 0029.14103
[8] Yu. L. Shmul’yan, ?Regular and singular Hermitian operators,? Matem. Zametki,8, No. 2, 197-203 (1970).
[9] Yu. L. Shmul’yan, ?The extended resolvent and extended spectral functions of a Hermitian operator,? Matem. Sb.,84 (126), 440-455 (1971). · Zbl 0227.47012
[10] K. Yosida, Functional Analysis, Academic Press, New York (1965). · Zbl 0126.11504
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.