On the convergence of ordered sets of projections

Author:
John Y. Barry

Journal:
Proc. Amer. Math. Soc. **5** (1954), 313-314

MSC:
Primary 46.0X

DOI:
https://doi.org/10.1090/S0002-9939-1954-0062340-X

MathSciNet review:
0062340

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References | Similar Articles | Additional Information

**[1]**L. Alaoglu,*Weak topologies of normed linear spaces*, Ann. of Math. vol. 41 (1940) pp. 252-267. MR**0001455 (1:241e)****[2]**S. Banach,*Théorie des opérations linéaires*, Warsaw, 1932.**[3]**E. R. Lorch,*On a calculus of operators in reflexive vector spaces*, Trans. Amer. Math. Soc. vol. 45 (1939) pp. 217-234. MR**1501988****[4]**E. H. Moore and H. L. Smith,*A general theory of limits*, Amer. J. Math. vol. 44 (1922) pp. 102-121. MR**1506463**

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DOI:
https://doi.org/10.1090/S0002-9939-1954-0062340-X

Article copyright:
© Copyright 1954
American Mathematical Society