Geodesic
Complete commutative symmetric operator algebras in the Pontryagin space $\Pi_1$
Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 569-576 
A. I. Loginov. Complete commutative symmetric operator algebras in the Pontryagin space $\Pi_1$. Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 569-576. http://geodesic.mathdoc.fr/item/SM_1971_13_4_a4/
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     title = {Complete commutative symmetric operator algebras in the {Pontryagin} space~$\Pi_1$},
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper describes, up to unitary equivalence, all (with the exception of simple cases considered previously) commutative subalgebras of all bounded operators on the Pontryagin space $\Pi_1$ which are closed in the uniform topology and contain along with each operator also its conjugate with respect to an indefinite scalar product. Bibliography: 6 titles.

[1] M. A. Naimark, “O kommutativnykh algebrakh operatorov v prostranstve $\Pi_1$”, DAN SSSR, 156:4 (1964), 734–737 | MR

[2] M. A. Naimark, “Kommutativnye algebry operatorov v prostranstve $\Pi_1$”, Rev. Roum. Math, Pures et Appl., 9:6 (1964), 499–529 | MR

[3] A. I. Loginov, “Banakhovy kommutativnye simmetrichnye algebry operatorov v prostranstve Pontryagina $\Pi_1$”, DAN SSSR, 179:6 (1968), 1276–1278 | MR | Zbl

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

[5] M. A. Naimark, S. V. Fomin, “Nepreryvnye summy gilbertovykh prostranstv i nekotorye ikh primeneniya”, Uspekhi matem. nauk, X:2(64) (1955), 111–142 | MR

[6] M. A. Naimark, Normirovannye koltsa, Nauka, Moskva, 1968 | MR | Zbl