V. I. Gurarii, N. I. Gurarii, “Bases in uniformly convex and uniformly flattened Banach spaces”, Math. USSR-Izv., 5:1 (1971), 220

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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) Russian version article

References:

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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

$x$ in a uniformly convex and uniformly flattened Banach space

E

$E$ in terms of

l_{p}

$l_p$ -norms of the sequence of coefficients which occur in the expansion of

x

$x$ in a basis

{e_{i}}_{1}^{\infty}

$\{e_i\}^\infty_1$ .

Received: 27.02.1969

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”, 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 Math. USSR-Izv.

\yr 1971

\vol 5

\issue 1

\pages 220--225

\mathnet{http://mi.mathnet.ru/eng/im1931}

\crossref{https://doi.org/10.1070/IM1971v005n01ABEH001038}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=283549}

\zmath{https://zbmath.org/?q=an:0214.12702}

Linking options:

https://www.mathnet.ru/eng/im1931

https://doi.org/10.1070/IM1971v005n01ABEH001038

https://www.mathnet.ru/eng/im/v35/i1/p210

This publication is cited in the following 7 articles:

A. N. Agadzhanov, “On some properties of superreflexive Besov spaces”, Dokl. Math., 101:3 (2020), 177–181
St. Petersburg Math. J., 25:3 (2014), 361–396
Milen Ivanov, Stanimir Troyanski, “Uniformly smooth renorming of Banach spaces with modulus of convexity of power type 2”, Journal of Functional Analysis, 237:2 (2006), 373
Helmut Knaust, Edward Odell, Lecture Notes in Mathematics, 1470, Functional Analysis, 1991, 85
Pure and Applied Mathematics, 93, 1980, 225
Joseph Diestel, Lecture Notes in Mathematics, 485, Geometry of Banach Spaces-Selected Topics, 1975, 20
N. I. Gurarii, “Coefficient sequences in Hilbert and Banach space expansions”, Math. USSR-Izv., 5:1 (1971), 226–232

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия Академии наук СССР. Серия математическая

Statistics & downloads:
Abstract page:	427
Russian version PDF:	162
English version PDF:	43
References:	68
First page:	1

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