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Izvestiya: Mathematics, 2014, Volume 78, Issue 6, Pages 1120–1137
DOI: https://doi.org/10.1070/IM2014v078n06ABEH002723 (Mi im8174) 		 
General Franklin system as a basis in $B^1[0,1]$

G. G. Gevorkyan

Yerevan State University
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DOI: https://doi.org/10.1070/IM2014v078n06ABEH002723
Abstract: For a general Franklin system $\{f_n\}_{n=0}^{\infty}$ generated by an admissible sequence $\mathcal T$, we obtain necessary and sufficient conditions on $\mathcal T$ under which the corresponding system is a basis or an unconditional basis in $B^1[0,1]$.
Keywords: general Franklin system, basis, unconditional basis, spaces $B^1$, $H^1$.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 13-1А006
Received: 09.10.2013
Revised: 04.04.2014
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 6, Pages 65–82
DOI: https://doi.org/10.4213/im8174
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 41A15, 42C10, 46E30
Language: English
Original paper language: Russian
Citation: G. G. Gevorkyan, “General Franklin system as a basis in $B^1[0,1]$”, Izv. RAN. Ser. Mat., 78:6 (2014), 65–82; Izv. Math., 78:6 (2014), 1120–1137
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:177
    English version PDF:22
    References:62
    First page:19
     
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