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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 270, Pages 90–102 (Mi znsl1329)  

Similarity problem for certain martingale uniform algebras

S. V. Kislyakov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: Let $A$ be a proper uniform algebra admitting a nontrivial bounded point derivation. Then for a certain uniform algebra $A_1$ (related to $A$ much as the algebra of Hardy martingales on $\mathbb T^\infty$ is related to the disk algebra) there exists a bounded but not completely bounded homomorphism $\varphi\colon A_1\to B(H)$.
Received: 28.03.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 2, Pages 2141–2146
DOI: https://doi.org/10.1023/A:1022880619755
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. V. Kislyakov, “Similarity problem for certain martingale uniform algebras”, Investigations on linear operators and function theory. Part 28, Zap. Nauchn. Sem. POMI, 270, POMI, St. Petersburg, 2000, 90–102; J. Math. Sci. (N. Y.), 115:2 (2003), 2141–2146
Citation in format AMSBIB
\Bibitem{Kis00}
\by S.~V.~Kislyakov
\paper Similarity problem for certain martingale uniform algebras
\inbook Investigations on linear operators and function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 270
\pages 90--102
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1329}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1795641}
\zmath{https://zbmath.org/?q=an:1042.46027}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 2
\pages 2141--2146
\crossref{https://doi.org/10.1023/A:1022880619755}
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