Complete commutative symmetric operator algebras in the Pontryagin space~$\Pi_1$
Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 569-576
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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.
@article{SM_1971_13_4_a4,
author = {A. I. Loginov},
title = {Complete commutative symmetric operator algebras in the {Pontryagin} space~$\Pi_1$},
journal = {Sbornik. Mathematics},
pages = {569--576},
publisher = {mathdoc},
volume = {13},
number = {4},
year = {1971},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1971_13_4_a4/}
}
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/