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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 270, Pages 90–102
(Mi znsl1329)
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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
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
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https://www.mathnet.ru/eng/znsl1329 https://www.mathnet.ru/eng/znsl/v270/p90
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Abstract page: | 242 | Full-text PDF : | 74 |
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