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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1971 Volume 84(126), Number 4, Pages 575–582 (Mi sm3166)

This article is cited in 3 papers

Complete commutative symmetric operator algebras in the Pontryagin space $\Pi_1$

A. I. Loginov


Abstract: 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.

UDC: 519.56

MSC: Primary 46L99; Secondary 46D05, 46E99

Received: 07.05.1970


 English version:
Mathematics of the USSR-Sbornik, 1971, 13:4, 569–576

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