The algebra of bounded functions
HTML articles powered by AMS MathViewer
- by Kenneth G. Wolfson PDF
- Proc. Amer. Math. Soc. 5 (1954), 10-14 Request permission
References
- I. Gelfand, Normierte Ringe, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 3–24 (German, with Russian summary). MR 0004726
- Irving Kaplansky, Normed algebras, Duke Math. J. 16 (1949), 399–418. MR 31193
- Irving Kaplansky, Projections in Banach algebras, Ann. of Math. (2) 53 (1951), 235–249. MR 42067, DOI 10.2307/1969540
- Neal H. McCoy, Subrings of Direct Sums, Amer. J. Math. 60 (1938), no. 2, 374–382. MR 1507320, DOI 10.2307/2371301
- Neal H. McCoy, Subdirect sums of rings, Bull. Amer. Math. Soc. 53 (1947), 856–877. MR 21543, DOI 10.1090/S0002-9904-1947-08867-4
- N. H. McCoy and Deane Montgomery, A representation of generalized Boolean rings, Duke Math. J. 3 (1937), no. 3, 455–459. MR 1546001, DOI 10.1215/S0012-7094-37-00335-1 J. von Neumann, Continuous geometry, vol. 2, Princeton Lectures, 1936-37.
- M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. 40 (1936), no. 1, 37–111. MR 1501865, DOI 10.1090/S0002-9947-1936-1501865-8
- M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, DOI 10.1090/S0002-9947-1937-1501905-7
- Bertram Yood, Banach algebras of bounded functions, Duke Math. J. 16 (1949), 151–163. MR 29107
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 10-14
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0060161-5
- MathSciNet review: 0060161