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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 170, Pages 82–89 (Mi znsl4455)  
Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$

H. Wolf, V. P. Havin
Full-text PDF (422 kB)
Abstract: Every approximative identity asymptotically multiplicative with respect to $H^\infty(\mathbb{R})$ (or to $H^\infty(\mathbb{T})$) is necessarily a shift and a contraction of the Poisson kernel.
English version:
Journal of Soviet Mathematics, 1993, Volume 63, Issue 2, Pages 159–163
DOI: https://doi.org/10.1007/BF01099307
Bibliographic databases:
Document Type: Article
UDC: 517.85
Language: Russian
Citation: H. Wolf, V. P. Havin, “Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$”, Investigations on linear operators and function theory. Part 17, Zap. Nauchn. Sem. LOMI, 170, "Nauka", Leningrad. Otdel., Leningrad, 1989, 82–89; J. Soviet Math., 63:2 (1993), 159–163
Citation in format AMSBIB
\Bibitem{WolHav89}
\by H.~Wolf, V.~P.~Havin
\paper Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$
\inbook Investigations on linear operators and function theory. Part~17
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 170
\pages 82--89
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4455}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039574}
\zmath{https://zbmath.org/?q=an:0784.47037|0714.47019}
\transl
\jour J. Soviet Math.
\yr 1993
\vol 63
\issue 2
\pages 159--163
\crossref{https://doi.org/10.1007/BF01099307}
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