Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Ring and lattice characterizations of complex Hilbert space


Authors: Shizuo Kakutani and George W. Mackey
Journal: Bull. Amer. Math. Soc. 52 (1946), 727-733
MathSciNet review: 0016534
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References [Enhancements On Off] (What's this?)

  • 1. Shizuo Kakutani and George W. Mackey, Two characterizations of real Hilbert space, Ann. of Math. (2) 45 (1944), 50–58. MR 0009421
  • 2. B. H. Arnold, Rings of operators on vector spaces, Ann. of Math. (2) 45 (1944), 24–49. MR 0009425
  • 3. H. F. Bohnenblust and A. Sobczyk, Extensions of functional on complex linear spaces, Bull. Amer. Math. Soc. vol. 44 (1938) pp. 91-93.
  • 4. George W. Mackey, Isomorphisms of normed linear spaces, Ann. of Math. (2) 43 (1942), 244–260. MR 0006604
  • 5. Yukiyosi Kawada, Über den Operatorenring Banachscher Räume, Proc. Imp. Acad. Tokyo 19 (1943), 616–621 (German). MR 0014583


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1946-08644-9