On the existence of [Schauder] decompositions in Banach spaces
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- by B. L. Sanders PDF
- Proc. Amer. Math. Soc. 16 (1965), 987-990 Request permission
References
- M. G. Arsove and R. E. Edwards, Generalized bases in topological linear spaces, Studia Math. 19 (1960), 95–113. MR 115068, DOI 10.4064/sm-19-1-95-113 S. Banach, Théorie des opérations linéaires, 2nd ed. Chelsea, New York, 1955.
- Mahlon M. Day, On the basis problem in normed spaces, Proc. Amer. Math. Soc. 13 (1962), 655–658. MR 137987, DOI 10.1090/S0002-9939-1962-0137987-7
- Bernard R. Gelbaum, Notes on Banach spaces and bases, An. Acad. Brasil. Ci. 30 (1958), 29–36. MR 98974 Charles W. McArthur, Infinite direct sums in metric linear spaces. (Unpublished.)
- B. L. Sanders, Decompositions and reflexivity in Banach spaces, Proc. Amer. Math. Soc. 16 (1965), 204–208. MR 172092, DOI 10.1090/S0002-9939-1965-0172092-8
- Andrew Sobczyk, Projection of the space $(m)$ on its subspace $(c_0)$, Bull. Amer. Math. Soc. 47 (1941), 938–947. MR 5777, DOI 10.1090/S0002-9904-1941-07593-2
- Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0098966
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 987-990
- MSC: Primary 46.10
- DOI: https://doi.org/10.1090/S0002-9939-1965-0180835-2
- MathSciNet review: 0180835