Natural homomorphisms in Banach spaces
Author:
J. Dieudonné
Journal:
Proc. Amer. Math. Soc. 1 (1950), 54-59
MSC:
Primary 46.0X
DOI:
https://doi.org/10.1090/S0002-9939-1950-0033973-8
MathSciNet review:
0033973
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References | Similar Articles | Additional Information
- [1] R. Arens, Duality in linear spaces, Duke Math. J. vol. 14 (1947) pp. 787-794. MR 0022651 (9:241a)
- [2] S. Banach, Théorie des opérations linéaires, Warsaw, 1932.
- [3] J. Dieudonné, La dualité dans les espaces vectoriels topologiques, Ann. École Norm. (3) vol. 59 (1942) pp. 107-139. MR 0011532 (6:178g)
- [4] G. Köthe, Die Quotienrenraüme eines linearen vollkommenen Raumes, Math. Zeit. vol. 51 (1947) pp. 17-35. MR 0023454 (9:358e)
- [5] M. Krein and V. Šmulian, On regularly convex sets in the space conjugate to a Banach space, Ann. of Math. vol. 41 (1940) pp. 556-583. MR 0002009 (1:335e)
- [6] G. W. Mackey, On infinite dimensional spaces, Trans. Amer. Math. Soc. vol. 57 (1945) pp. 155-207. MR 0012204 (6:274d)
- [7] M. E. Munroe, Homomorphisms on Banach spaces, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 776-781. MR 0026245 (10:128c)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1950-0033973-8
Article copyright:
© Copyright 1950
American Mathematical Society