Basis preserving maps
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- by William J. Davis
- Proc. Amer. Math. Soc. 22 (1969), 34-36
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243320-9
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References
- Maynard G. Arsove, The Paley-Wiener theorem in metric linear spaces, Pacific J. Math. 10 (1960), 365–379. MR 125429 S. Banach, Théorie des operationes lineaires, Chelsea, Warsaw, 1932.
- M. Ĭ. Kadec′, Topological equivalence of all separable Banach spaces, Dokl. Akad. Nauk SSSR 167 (1966), 23–25 (Russian). MR 0201951
- L. V. Kantorovich and G. P. Akilov, Functional analysis in normed spaces, International Series of Monographs in Pure and Applied Mathematics, Vol. 46, The Macmillan Company, New York, 1964. Translated from the Russian by D. E. Brown; Edited by A. P. Robertson. MR 0213845
- A. Pełczyński, Universal bases, Studia Math. 32 (1969), 247–268. MR 241954, DOI 10.4064/sm-32-3-247-268
- James R. Retherford, Basic sequences and the Paley-Wiener criterion, Pacific J. Math. 14 (1964), 1019–1027. MR 170195
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 34-36
- MSC: Primary 46.10
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243320-9
- MathSciNet review: 0243320