On a Property of the Franklin System in C[0, 1] and L1[0, 1]
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Published:2020-01
Issue:1-2
Volume:107
Page:284-287
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ISSN:0001-4346
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Container-title:Mathematical Notes
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language:en
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Short-container-title:Math Notes
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference12 articles.
1. M. M. Day, Normed Linear Spaces (Springer-Verlag, Berlin, 1962).
2. J. R. Holub, “Bounded completeness and Schauder’s basis for C[0, 1],” Glasgow Math. J. 28 (1), 15–19 (1986).
3. V. Kadets, “The Haar system in L1 is monotonically boundedly complete,” Mat. Fiz. Anal. Geom. 12 (1), 103–106 (2005).
4. Ph. Franklin, “A set of continuous orthogonal functions,” Math. Ann. 100 (1), 522–529 (1928).
5. S. V. Bočkarev, “Some inequalities for the Franklin series,” Anal. Math. 1 (4), 249–257 (1975).