Ring and lattice characterizations of complex Hilbert space
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- by Shizuo Kakutani and George W. Mackey PDF
- Bull. Amer. Math. Soc. 52 (1946), 727-733
References
- Shizuo Kakutani and George W. Mackey, Two characterizations of real Hilbert space, Ann. of Math. (2) 45 (1944), 50–58. MR 9421, DOI 10.2307/1969076
- B. H. Arnold, Rings of operators on vector spaces, Ann. of Math. (2) 45 (1944), 24–49. MR 9425, DOI 10.2307/1969075 3. H. F. Bohnenblust and A. Sobczyk, Extensions of functional on complex linear spaces, Bull. Amer. Math. Soc. vol. 44 (1938) pp. 91-93.
- George W. Mackey, Isomorphisms of normed linear spaces, Ann. of Math. (2) 43 (1942), 244–260. MR 6604, DOI 10.2307/1968868
- Yukiyosi Kawada, Über den Operatorenring Banachscher Räume, Proc. Imp. Acad. Tokyo 19 (1943), 616–621 (German). MR 14583
Additional Information
- Journal: Bull. Amer. Math. Soc. 52 (1946), 727-733
- DOI: https://doi.org/10.1090/S0002-9904-1946-08644-9
- MathSciNet review: 0016534