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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 5–15 (Mi znsl3672)  

This article is cited in 18 scientific papers (total in 18 papers)

Isometric embeddings of coinvariant subspaces of the shift operator

A. B. Aleksandrov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: Let $\theta$ be an inner function. The main aim of the paper is to describe all positive measures on the unit circle $\mathbb T$ such that $\int_\mathbb T|f|^2\,d\mu=\|f\|^2_{H^2}$ for all continuous functions $f\in H^2\ominus\theta H^2$. Bibl. 8 titles.
Received: 15.11.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 92, Issue 1, Pages 3543–3549
DOI: https://doi.org/10.1007/BF02440138
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. B. Aleksandrov, “Isometric embeddings of coinvariant subspaces of the shift operator”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 5–15; J. Math. Sci. (New York), 92:1 (1998), 3543–3549
Citation in format AMSBIB
\Bibitem{Ale96}
\by A.~B.~Aleksandrov
\paper Isometric embeddings of coinvariant subspaces of the shift operator
\inbook Investigations on linear operators and function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 232
\pages 5--15
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3672}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1464420}
\zmath{https://zbmath.org/?q=an:0907.30037|0888.30023}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 92
\issue 1
\pages 3543--3549
\crossref{https://doi.org/10.1007/BF02440138}
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  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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