Geodesic
Completely regular perturbation of a continuous spectrum. II
Sbornik. Mathematics, Tome 13 (1971) no. 1, pp. 137-154 
V. È. Lyantse. Completely regular perturbation of a continuous spectrum. II. Sbornik. Mathematics, Tome 13 (1971) no. 1, pp. 137-154. http://geodesic.mathdoc.fr/item/SM_1971_13_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An expanded presentation of results previously announced by the author (see RZhMat., 1969, 2B645) with a generalization to the case of an infinite-dimensional perturbation; continued. See RZhMat., 1970, 9B484 for the first part. Bibliography: 12 titles.

[1] K. O. Friedrichs, Perturbations of spectra in Hilbert space, Providence, Rhode Island, 1965 | MR | Zbl

[2] T. Kato, Perturbation theory for linear operator, Springer-Verlag, 1966 | MR

[3] T. Kato, “Wave operators and similarity for some non self-adjoint operators”, Math. Ann., 162 (1969), 258–279 | DOI | MR

[4] I. Ts. Gokhberg, M. G. Krein, Teoriya volterrovykh operatorov v gilbertovom prostranstve, Nauka, Moskva, 1967

[5] M. A. Naimark, “Issledovanie spektra i razlozhenie po sobstvennym funktsiyam nesamosopryazhennogo operatora”, Trudy Mosk. matem. o-va, III (1954), 181–270 | MR

[6] J. Schwartz, “Some non self-adjoint operators”, Comm. Pure Appl. Math., 13 (1960), 609–639 | DOI | MR | Zbl

[7] V. E. Lyantse, “Odnomernoe vozmuschenie operatora umnozheniya na nezavisimoe peremennoe”, DAN SSSR, 182:5 (1968), 1010–1013 | Zbl

[8] K. Iosida, Funktsionalnyi analiz, Mir, Moskva, 1967 | MR

[9] E. Titchmarsh, Vvedenie v teoriyu integralov Fure, Gostekhizdat, Moskva, 1948

[10] I. Ts. Gokhberg, M. G. Krein, Vvedenie v teoriyu nesamosopryazhennykh operatorov, Nauka, Moskva, 1965

[11] M. A. Naimark, Lineinye differentsialnye operatory, Nauka, Moskva, 1969 | MR

[12] L. A. Sakhnovich, “Privedenie nesamosopryazhennykh operatorov s nepreryvnym spektrom k diagonalnomu vidu”, Matem. sb., 44(86) (1958), 509–548