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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 6, Pages 1429–1446
DOI: https://doi.org/10.1070/IM1970v004n06ABEH000998 (Mi im2473) 		 
On properties of bases after their orthogonalization

V. M. Veselov
English version PDF (772 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1970v004n06ABEH000998
Abstract: We wish to determine which $L^p$ spaces have bases formed by orthogonalizing a sequence of functions $\{f_n\}$ that is a basis in $C(0,1)$. We show that the answer to this question depends on the sequence of functions $\{f_n\}$ and also on the method of orthogonalization.
Received: 01.04.1970
Bibliographic databases:
UDC: 513.88
MSC: Primary 46B15; Secondary 41A50, 42A52
Language: English
Original paper language: Russian
Citation: V. M. Veselov, “On properties of bases after their orthogonalization”, Math. USSR-Izv., 4:6 (1970), 1429–1446
Citation in format AMSBIB
\Bibitem{Ves70}
\by V.~M.~Veselov
\paper On properties of bases after their orthogonalization
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 6
\pages 1429--1446
\mathnet{http://mi.mathnet.ru/eng/im2473}
\crossref{https://doi.org/10.1070/IM1970v004n06ABEH000998}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276754}
\zmath{https://zbmath.org/?q=an:0203.43202}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:95
    English version PDF:11
    References:49
    First page:1
     
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