Linear interpolating bases in $C[0, 1]$ are not Besselian
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- by Ronn Carpenter PDF
- Proc. Amer. Math. Soc. 53 (1975), 53-56 Request permission
Abstract:
It is shown that linear interpolating bases for $C[0,1]$ cannot be $p$-Besselian.References
- A. Pełczyński, Some problems on bases in Banach and Fréchet spaces, Israel J. Math. 2 (1964), 132–138. MR 173141, DOI 10.1007/BF02759953
- Sherwood Samn, A bounded Hilbertian basis in $C[0,\,1]$, Proc. Amer. Math. Soc. 40 (1973), 465–469. MR 320718, DOI 10.1090/S0002-9939-1973-0320718-2
- Ivan Singer, Bases in Banach spaces. I, Die Grundlehren der mathematischen Wissenschaften, Band 154, Springer-Verlag, New York-Berlin, 1970. MR 0298399, DOI 10.1007/978-3-642-51633-7
- H. E. Warren, A special basis for $C([0,\,1])$, Proc. Amer. Math. Soc. 27 (1971), 495–499. MR 270130, DOI 10.1090/S0002-9939-1971-0270130-8
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 53-56
- MSC: Primary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0500101-9
- MathSciNet review: 0500101