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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 447, Pages 66–74 (Mi znsl6294)  
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
Full-text PDF (182 kB) Citations (2)
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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.
Funding agency Grant number
Russian Science Foundation 14-21-00035
Received: 18.09.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 5, Pages 528–533
DOI: https://doi.org/10.1007/s10958-018-3695-2
Bibliographic databases:
Document Type: Article
UDC: 517.547.57
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Zlo16}
\by I.~K.~Zlotnikov
\paper Estimates in the problem of ideals in the algebra~$H^\infty$
\inbook Investigations on linear operators and function theory. Part~44
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 447
\pages 66--74
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6294}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580162}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 5
\pages 528--533
\crossref{https://doi.org/10.1007/s10958-018-3695-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85041551125}
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  • https://www.mathnet.ru/eng/znsl/v447/p66
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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