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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 1, Pages 220–225
DOI: https://doi.org/10.1070/IM1971v005n01ABEH001038 (Mi im1931) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Bases in uniformly convex and uniformly flattened Banach spaces

V. I. Gurarii, N. I. Gurarii
English version PDF (243 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1971v005n01ABEH001038
Abstract: The aim of this article is to obtain two-sided estimates for the norm of an element $x$ in a uniformly convex and uniformly flattened Banach space $E$ in terms of $l_p$-norms of the sequence of coefficients which occur in the expansion of $x$ in a basis $\{e_i\}^\infty_1$ .
Received: 27.02.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1971, Volume 35, Issue 1, Pages 210–215
Bibliographic databases:
MSC: 46B15
Language: English
Original paper language: Russian
Citation: V. I. Gurarii, N. I. Gurarii, “Bases in uniformly convex and uniformly flattened Banach spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 35:1 (1971), 210–215; Math. USSR-Izv., 5:1 (1971), 220–225
Citation in format AMSBIB
\Bibitem{GurGur71}
\by V.~I.~Gurarii, N.~I.~Gurarii
\paper Bases in uniformly convex and uniformly flattened Banach spaces
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 1
\pages 210--215
\mathnet{http://mi.mathnet.ru/im1931}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=283549}
\zmath{https://zbmath.org/?q=an:0214.12702}
\transl
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 1
\pages 220--225
\crossref{https://doi.org/10.1070/IM1971v005n01ABEH001038}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:339
    Russian version PDF:141
    English version PDF:21
    References:41
    First page:1
     
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