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Representations of \(\ast\)-algebras with two generators and polynomial relations. (English. Russian original) Zbl 0779.47033

J. Sov. Math. 59, No. 5, 1107-1113 (1992); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 172, 121-129 (1989).
See the review in Zbl 0709.47041.

MSC:

47C10 Linear operators in \({}^*\)-algebras
16G60 Representation type (finite, tame, wild, etc.) of associative algebras
46K10 Representations of topological algebras with involution
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[1] E. K. Sklyanin, ?Algebraic structures connected with the Yang-Baxter equation. II. Representations of the quantum algebra,? Funkts. Anal. Prilozhen.,17, No. 4, 34?48 (1983).
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[4] M. Flato, J. Simon, H. Snellman, and D. Sternheimer, ?Simple facts about analytic vectors and integrability,? Ann. Sci. Ec. Norm. Sup., 4 ser.,5, No. 3, 424?434 (1972). · Zbl 0239.22019
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[8] P. Halmos, Hilbert Space in Problems [Russian translation], Moscow (1970). · Zbl 0204.15001
[9] É. E. Vaisleb and Yu. S. Samoilenko, ?Representation of relations AU=UF(A) by unbounded self-adjoint and unitary operators,? in: Boundary Problems for Differential Equations [in Russian], Inst. Mat., Akad. Nauk UkrSSR, Kiev (1988).
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