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Mat. Sb. (N.S.), 1971, Volume 85(127), Number 3(7), Pages 373–387 (Mi msb3261)  

This article is cited in 1 scientific paper (total in 2 paper)

Maximal invariant subalgebras in algebras with involution

E. A. Gorin, V. M. Zolotarevskii


Abstract: A very far-reaching generalization of Wermer's well-known theorem on the maximality of the subalgebra of analytic functions has been obtained in recent papers by Bonsall and Ford. The algebra of analytic functions of several variables, on the contrary, is not maximal. However, the standard algebra of analytic functions on the skeleton of a polycylinder is maximal among the subalgebras invariant under the natural semigroup of analytic endomorphisms. A general scheme is proposed in which this example occupies the same place as Wermer's theorem occupies in Bonsall's scheme.
Bibliography: 25 titles.

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English version:
Mathematics of the USSR-Sbornik, 1971, 14:3, 367–382

Bibliographic databases:

UDC: 519.56
MSC: 46E25, 46J20
Received: 22.06.1970

Citation: E. A. Gorin, V. M. Zolotarevskii, “Maximal invariant subalgebras in algebras with involution”, Mat. Sb. (N.S.), 85(127):3(7) (1971), 373–387; Math. USSR-Sb., 14:3 (1971), 367–382

Citation in format AMSBIB
\Bibitem{GorZol71}
\by E.~A.~Gorin, V.~M.~Zolotarevskii
\paper Maximal invariant subalgebras in algebras with involution
\jour Mat. Sb. (N.S.)
\yr 1971
\vol 85(127)
\issue 3(7)
\pages 373--387
\mathnet{http://mi.mathnet.ru/msb3261}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=310653}
\zmath{https://zbmath.org/?q=an:0216.16103}
\transl
\jour Math. USSR-Sb.
\yr 1971
\vol 14
\issue 3
\pages 367--382
\crossref{https://doi.org/10.1070/SM1971v014n03ABEH002622}


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    This publication is cited in the following articles:
    1. B. T. Batikyan, S. A. Grigoryan, “On uniform algebras containing $A(K)$”, Russian Math. Surveys, 40:2 (1985), 205–206  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. Yu. A. Brudnyi, M. G. Zaidenberg, A. L. Koldobskii, V. Ya. Lin, B. S. Mityagin, S. Norvidas, E. M. Semenov, P. V. Semenov, “Evgenii Alekseevich Gorin (obituary)”, Russian Math. Surveys, 74:5 (2019), 935–946  mathnet  crossref  crossref  adsnasa  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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