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@article{IM2_1973_7_3_a9, author = {T. Ya. Azizov}, title = {Dissipative operators in {a~Hilbert} space with an indefinite metric}, journal = {Izvestiya. Mathematics }, pages = {639--660}, publisher = {mathdoc}, volume = {7}, number = {3}, year = {1973}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a9/} }
T. Ya. Azizov. Dissipative operators in a~Hilbert space with an indefinite metric. Izvestiya. Mathematics , Tome 7 (1973) no. 3, pp. 639-660. http://geodesic.mathdoc.fr/item/IM2_1973_7_3_a9/
[1] Krein M. G., Langer G. K., “O defektnykh podprostranstvakh i obobschennykh rezolventakh ermitova operatora v prostranstve $\Pi_\varkappa$”, Funkts. analiz i ego prilozheniya, 5:2 (1971), 59–71 | MR | Zbl
[2] Azizov T. Ya., “Invariantnye podprostranstva i kriterii polnoty sistemy kornevykh vektorov $J$-dissipativnykh operatorov v prostranstve Pontryagina $\Pi_\varkappa$”, Dokl. AN SSSR, 200:5 (1971), 1015–1017 | MR | Zbl
[3] Langer H., “Zur Spektraltheorie $J$-selbstadjungierter Operatoren”, Math. Ann., 146 (1962), 60–85 | DOI | MR | Zbl
[4] Azizov T. Ya., “Lineinye operatory v gilbertovykh prostranstvakh s $G$-metrikoi”, Uspekhi matem. nauk, 26:4(160) (1971), 43–92 | MR | Zbl
[5] Pontryagin L. S., “Ermitovy operatory v prostranstvakh s indefinitnoi metrikoi”, Izv. AN SSSR. Ser. matem., 8 (1944), 243–280 | Zbl
[6] Krein S. G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967 | MR
[7] Gokhberg I. Ts., Krein M. G., “Osnovnye polozheniya o defektnykh chislakh, kornevykh chislakh i indeksakh lineinykh operatorov”, Uspekhi matem. nauk, 12:2(74) (1957), 43–118 | MR
[8] Ginzburg Yu. P., Iokhvidov I. S., “Issledovaniya po geometrii beskonechnomernykh prostranstv s bilineinoi metrikoi”, Uspekhi matem. nauk, 17:4(106) (1962), 3–56 | MR
[9] Danford N., Shvarts Dzh. T., Lineinye operatory. Obschaya teoriya, IL, M., 1962
[10] Brodskii M. L., “O svoistvakh operatora, otobrazhayuschego v sebya neotritsatelnuyu chast prostranstva s indefinitnoi metrikoi”, Uspekhi matem. nauk, 14:1(85) (1959), 147–152 | MR | Zbl
[11] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, Nauka, M., 1966 | MR | Zbl
[12] Azizov T. Ya., “O razlozhenii normirovannogo prostranstva v pryamuyu ili approksimativnuyu summu spetsialnykh podprostranstv”, Tr. NII matematiki VGU, 3, Voronezh, 1971, 1–3 | MR
[13] Glazman I. M., Pryamye metody kachestvennogo spektralnogo analiza singulyarnykh differentsialnykh operatorov, Fizmatgiz, M., 1963 | MR
[14] Langer H., “Verallgemeinerte Resolventen eines $J$-nichtnegativen Operators mit eindlichen Defekt”, J. Fund. Analysis, 8:2 (1971), 287–320 | DOI | MR | Zbl
[15] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, M., 1965 | MR
[16] Azizov T. Ya., Iokhvidov I. S., “Kriterii polnoty i bazisnosti sistemy kornevykh vektorov vpolne nepreryvnogo $J$-samosopryazhennogo operatora v prostranstve Pontryagina $\Pi_\varkappa$”, Matem. issled., 6, no. 1(19), Kishinev, 1971, 158–161 | MR | Zbl
[17] Iokhvidov I. S., Unitarnye i samosopryazhennye operatory v prostranstve s indefinitnoi metrikoi, Kandidatskaya dissertatsiya, Odessa, 1950 | Zbl
[18] Krein M. G., Shmulyan Yu. L., “$J$-polyarnoe predstavlenie plyus-operatorov”, Matem. issled., 1, no. 2, Kishinev, 1966, 172–210 | MR | Zbl