A special basis for $C([0, 1])$
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- by H. E. Warren
- Proc. Amer. Math. Soc. 27 (1971), 495-499
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270130-8
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Abstract:
This paper constructs a basis for $C([0,1])$ which converges weakly to zero whose elements are nevertheless norm bounded away from zero.References
- Ciprian Foiaş and Ivan Singer, On bases in $C([O,\,1])$ and $L^{1}\,([0,\,1])$, Rev. Roumaine Math. Pures Appl. 10 (1965), 931–960. MR 206691
- J. R. Holub, Some problems concerning bases in Banach spaces, Proc. Amer. Math. Soc. 23 (1969), 521–525. MR 250029, DOI 10.1090/S0002-9939-1969-0250029-4
- Jürg T. Marti, Introduction to the theory of bases, Springer Tracts in Natural Philosophy, Vol. 18, Springer-Verlag New York, Inc., New York, 1969. MR 0438075, DOI 10.1007/978-3-642-87140-5
- I. Singer, Basic sequences and reflexivity of Banach spaces, Studia Math. 21 (1961/62), 351–369. MR 146635, DOI 10.4064/sm-21-3-351-369
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 495-499
- MSC: Primary 46.25
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270130-8
- MathSciNet review: 0270130