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@article{FAA_1980_14_2_a5, author = {Yu. L. Shmul'yan}, title = {Transformers of linear relations in $J$-spaces}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {39--43}, publisher = {mathdoc}, volume = {14}, number = {2}, year = {1980}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1980_14_2_a5/} }
Yu. L. Shmul'yan. Transformers of linear relations in $J$-spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 14 (1980) no. 2, pp. 39-43. http://geodesic.mathdoc.fr/item/FAA_1980_14_2_a5/
[1] MacLane S., “An algebra of additive relations”, Proc. Nat. Acad. Sci. USA, 47:7 (1961), 1041–1051 ; Matematika, 7:6 (1963), 3–12 | MR
[2] Shmulyan Yu.L., “O rezolventnoi matritse operatornogo uzla”, Matem. issledovaniya, 8:4(30) (1973), 157–174 | MR
[3] Chatskii A.G., “Ob odnom preobrazovanii operatornykh matrits.”, Izv. VUZov, Matematika, 1972, no. 5(120), 104–108 | MR
[4] Zelinger Dzh., Osnovy matrichnogo analiza i sinteza, Sovetskoe radio, M., 1970
[5] Phillips R., “Dissipative operators and hyperbolic systems of partial differential equations”, Trans. Amer. Math. Soc., 90, no. 2, 1959, 193–254 ; Matematika, 6:4 (1962), 11–70 | DOI | MR | Zbl
[6] Ginzburg Yu.P., Iokhvidov I.S., “Issledovaniya po geometrii beskonechnomernykh prostranstv s bilineinoi metrikoi”, UMN, XVII:4 (1962), 3–56 | MR
[7] Krein M.G., “Vvedenie v geometriyu indefinitnykh $J$-prostranstv i teoriyu operatorov v etikh prostranstvakh”, Vtoraya letn. matem. shkola, I, Naukova dumka, Kiev, 1965, 15–92 | MR
[8] Ginzburg Yu.P., “O podprostranstvakh gilbertova prostranstva s indefinitnoi metrikoi”, Nauchn. zapiski Odessk. ped. in-ta, 25:2 (1961), 3–9
[9] Shmulyan Yu.L., “Teoriya lineinykh otnoshenii i prostranstva s indefinitnoi metrikoi”, Funkts. analiz, 10:1 (1976), 67–72 | MR
[10] Krein M.G., Shmulyan Yu.L., “O drobno-lineinykh preobrazovaniyakh s operatornymi koeffitsientami”, Matem. issledovaniya, 2:3 (1967), 64–96 | MR
[11] Shmulyan Yu.L., “O drobno-lineinykh preobrazovaniyakh s operatornymi koeffitsientami i operatornykh sharakh”, Matem. sb., 77 (1968), 335–353
[12] Potapov V.P., “Multiplikativnaya struktura $J$-nerastyagivayuschikh matrits-funktsii”, Trudy Mosk. matem. ob-va, 4, 1955, 125–236 | MR | Zbl
[13] Ginzburg Yu.P., “O $J$-nerastyagivayuschikh operatorakh v gilbertovom prostranstve”, Nauchn. zapiski. Odessk. ped. in-ta, 22:1 (1958), 13–19 | MR
[14] Iokhvidov E.I., Iokhvidov I.S., “O globalnom obraschenii odnogo drobno-lineinogo operatornogo preobrazovaniya”, Trudy NII matem. Voronezhsk. un-ta, 11 (1973), 64–70
[15] Iokhvidov E.I., “O rasshireniyakh izometricheskikh operatorov v gilbertovom prostranstve s indefinitnoi metrikoi”, Trudy NII matem. Voronezhsk. un-ta, 14 (1974), 21–31
[16] Arens R., “Operational calculus of linear relations”, Pacific J. Math., 11 (1961), 9–23 | DOI | MR | Zbl
[17] Shmulyan Yu.L., “Teoriya rasshireniya operatorov i prostranstva s indefinitnoi metrikoi”, Izv. AN SSSR, seriya matem., 38 (1974), 896–908
[18] Goddington E.A., Extension theory of formally normal and symmetric subspaces, Mem. Amer. Math. Soc., 134, 1973 | MR
[19] Dijksma A., de Snoo H.S.V., “Selfadjoint extensions of symmetric subspaces”, Pacific J. Math., 54:1 (1974), 71–100 | DOI | MR | Zbl
[20] Glukhov V.P., “O rasshireniyakh $J$-simmetricheskikh sootvetstvii”, Mezhvuz. sb. «Funkts. analiz», 2, Ulyanovsk, 1974, 12–15
[21] Nikonov A.A., “O rasshireniyakh simmetricheskikh operatorov v gilbertovom prostranstve s indefinitnoi metrikoi”, Mezhvuz. sb. «Funkts. analiz», 2, Ulyanovsk, 1974, 36–41
[22] Nikonov A.A., Utkin V.I., “Rasshirenie dissipativnykh operatorov v gilbertovom prostranstve s indefinitnoi metrikoi”, Matem. zametki, 17:6 (1975), 909–918 | MR | Zbl