Geodesic
Invariant subspaces of operators which act in a space with indefinite metric
Funkcionalʹnyj analiz i ego priloženiâ, Tome 14 (1980) no. 4, pp. 1-7.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1980_14_4_a0,
     author = {T. Ya. Azizov and S. A. Khoroshavin},
     title = {Invariant subspaces of operators which act in a space with indefinite metric},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {1--7},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1980_14_4_a0/}
}
TY  - JOUR
AU  - T. Ya. Azizov
AU  - S. A. Khoroshavin
TI  - Invariant subspaces of operators which act in a space with indefinite metric
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1980
SP  - 1
EP  - 7
VL  - 14
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1980_14_4_a0/
LA  - ru
ID  - FAA_1980_14_4_a0
ER  - 
%0 Journal Article
%A T. Ya. Azizov
%A S. A. Khoroshavin
%T Invariant subspaces of operators which act in a space with indefinite metric
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1980
%P 1-7
%V 14
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1980_14_4_a0/
%G ru
%F FAA_1980_14_4_a0
T. Ya. Azizov; S. A. Khoroshavin. Invariant subspaces of operators which act in a space with indefinite metric. Funkcionalʹnyj analiz i ego priloženiâ, Tome 14 (1980) no. 4, pp. 1-7. http://geodesic.mathdoc.fr/item/FAA_1980_14_4_a0/

[1] Azizov T.Ya., Iokhvidov I.S., “Lineinye operatory v prostranstvakh s indefinitnoi metrikoi i ikh prilozheniya”, Itogi nauki i tekhniki. Matematicheskii analiz, 17, VINITI, M., 1979, 113–205 | MR | Zbl

[2] Krein M. G., Shmulyan Yu.L., “O plyus-operatorakh v prostranstve s indefinitnoi metrikoi”, Matem. issledovaniya, 1:1 (1966), 131–161 | MR

[3] Krein M.G., “Ob odnom primenenii printsipa nepodvizhnoi tochki v teorii lineinykh preobrazovanii s indefinitnoi metrikoi”, UMN, V:2 (1950), 180–190 | MR

[4] Krein M.G., “Ob odnom novom printsipe primeneniya metoda nepodvizhnoi tochki v teorii operatorov v prostranstve s indefinitnoi metrikoi”, DAN SSSR, 154:5 (1964), 1023–1026 | MR

[5] Khatskevich V.A., “Ob odnom primenenii printsipa szhatykh otobrazhenii v teorii operatorov v prostranstve s indefinitnoi metrikoi”, Funkts. analiz, 12:1 (1978), 88–89 | MR | Zbl

[6] Iokhvidov I.S., Krein M.G., “Spektralnaya teoriya operatorov v prostranstve s indefinitnoi metrikoi. I”, Trudy Mosk. matem. ob-va, 5, 1956, 367–432 | MR | Zbl

[7] Daletskii Yu.L., Krein M.G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR

[8] Brodskii M.L., “O svoistvakh operatora, otobrazhayuschego v sebya neotritsatelnuyu chast prostranstva s indefinitnoi metrikoi”, UMN, XIV:1 (1959), 147–152 | MR

[9] Azizov T.Ya., “O ravnomerno $J$-rastyagivayuschikh operatorakh i fokusiruyuschikh plyus-operatorakh”, Shkola po teorii operatorov v funktsionalnykh prostranstvakh, Tezisy dokladov, Minsk, 1978

[10] Krein M.G., Shmulyan Yu.L., “Ob ustoichivykh plyus-operatorakh v $J$-prostranstvakh”, Lineinye operatory, Shtiintsa, Kishinev, 1980, 67–83 | MR

[11] Azizov T.Ya., Kondras T.V., Kriterii suschestvovaniya maksimalnykh definitnykh invariantnykh podprostranstv u operatorov s indefinitnoi metrikoi, VGU, Voronezh, 1977

[12] Azizov T.Ya., “Dissipativnye operatory v gilbertovom prostranstve s indefinitnoi metrikoi”, Izv. AN SSSR, seriya matem., 37 (1973), 639–662 | MR | Zbl

[13] Azizov T.Ya., Iokhvidov E.I., “Ob invariantnykh podprostranstvakh maksimalnykh $K$-dissipativnykh operatorov”, Matem. zametki, 12:6 (1972), 747–754 | MR | Zbl

[14] Azizov T.Ya., Usvyatsova E.B., “Suschestvovanie spetsialnykh neotritsatelnykh invariantnykh podprostranstv $J$-dissipativnykh operatorov”, Sib. matem. zh., 18:1 (1977), 216–218 | MR | Zbl

[15] Krein M.G., Langer G.K., “O nekotorykh matematicheskikh printsipakh lineinoi teorii dempfirovannykh kolebanii kontinuumov”, Prilozheniya teorii funktsii v mekhanike sploshnoi sredy, 2, Nauka, M., 1965, 283–322 | MR

[16] Iokhvidov I.S., “Ob odnoi lemme K. Fana, obobschayuschei printsip nepodvizhnoi tochki A.N. Tikhonova”, DAN SSSR, 159:3 (1964), 501–504 | MR | Zbl