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A characterization of M-bases. (English) Zbl 0216.40803


MSC:

46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
46A35 Summability and bases in topological vector spaces
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References:

[1] Banach, S.: Theorie des operationes lineaires. Warsaw: Monografje Matematyczne 1932. · JFM 58.1120.06
[2] Davis, W. J.: Dual generalized bases in linear topology spaces. Proc. Amer. Math. Soc.17, 1057-1063 (1966). · Zbl 0146.36502 · doi:10.1090/S0002-9939-1966-0196458-6
[3] Singer, I.: On biorthogonal systems and total sequences of functionals (to appear). · Zbl 0233.46028
[4] ?? Bases in Banach spaces. II. Studii si Cercet Mat.15, 147-208 (1964).
[5] Markushevich, A.: Sur les bases (au sens large) dans les espaces lineaires. Dokl. Akad. Nauk SSSR41, 227-229 (1943). · Zbl 0061.24701
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