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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 447, Pages 66–74
(Mi znsl6294)
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This article is cited in 2 scientific papers (total in 2 papers)
Estimates in the problem of ideals in the algebra $H^\infty$
I. K. Zlotnikovab a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
Abstract:
By using the fixed-point approach due to D. Rutsky, the problem of ideals in $H^\infty$ is solved for “data sequences” in $H^\infty(l^1)$ (instead of $H^\infty(l^2)$ in the traditional setting).
Key words and phrases:
corona theorem, problem of ideals, Ky Fan fixed point theorem.
Received: 18.09.2016
Citation:
I. K. Zlotnikov, “Estimates in the problem of ideals in the algebra $H^\infty$”, Investigations on linear operators and function theory. Part 44, Zap. Nauchn. Sem. POMI, 447, POMI, St. Petersburg, 2016, 66–74; J. Math. Sci. (N. Y.), 229:5 (2018), 528–533
Linking options:
https://www.mathnet.ru/eng/znsl6294 https://www.mathnet.ru/eng/znsl/v447/p66
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Abstract page: | 201 | Full-text PDF : | 50 | References: | 37 |
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