Schauder decompositions in $(m)$
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- by David W. Dean PDF
- Proc. Amer. Math. Soc. 18 (1967), 619-623 Request permission
References
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675 N. Dunford and J. T. Schwartz, Linear operators, Vol. 1, Interscience, New York, 1958.
- A. Grothendieck, Sur les applications linéaires faiblement compactes d’espaces du type $C(K)$, Canad. J. Math. 5 (1953), 129–173 (French). MR 58866, DOI 10.4153/cjm-1953-017-4
- Robert C. James, Bases and reflexivity of Banach spaces, Ann. of Math. (2) 52 (1950), 518–527. MR 39915, DOI 10.2307/1969430
- S. Karlin, Bases in Banach spaces, Duke Math. J. 15 (1948), 971–985. MR 29103, DOI 10.1215/S0012-7094-48-01587-7
- Charles W. McArthur and James R. Retherford, Uniform and equicontinuous Schauder bases of subspaces, Canadian J. Math. 17 (1965), 207–212. MR 173934, DOI 10.4153/CJM-1965-020-5
- William H. Ruckle, The infinite sum of closed subspaces of an $F$-space, Duke Math. J. 31 (1964), 543–554. MR 166589
- 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
- B. L. Sanders, On the existence of [Schauder] decompositions in Banach spaces, Proc. Amer. Math. Soc. 16 (1965), 987–990. MR 180835, DOI 10.1090/S0002-9939-1965-0180835-2
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 619-623
- MSC: Primary 46.20
- DOI: https://doi.org/10.1090/S0002-9939-1967-0217575-9
- MathSciNet review: 0217575