Structure theorems for a special class of Banach algebras
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- by Warren Ambrose
- Trans. Amer. Math. Soc. 57 (1945), 364-386
- DOI: https://doi.org/10.1090/S0002-9947-1945-0013235-8
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References
- Albert, A. A., Structure of algebras, Amer. Math. Soc. Colloquium Publications, vol. 24, 1939.
Banach, S., Théorie des opérations linéaires, Warsaw, 1932.
- I. Gelfand, Normierte Ringe, Rec. Math. [Mat. Sbornik] N.S. 9 (51) (1941), 3–24 (German, with Russian summary). MR 0004726
- I. Gelfand and M. Neumark, On the imbedding of normed rings into the ring of operators in Hilbert space, Rec. Math. [Mat. Sbornik] N.S. 12(54) (1943), 197–213 (English, with Russian summary). MR 0009426
- Gottfried Köthe, Abstrakte Theorie nichtkommutativer Ringe mit einer Anwendung auf die Darstellungstheorie kontinuierlicher Gruppen, Math. Ann. 103 (1930), no. 1, 545–572 (German). MR 1512637, DOI 10.1007/BF01455710
- F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116–229. MR 1503275, DOI 10.2307/1968693 Riesz, F., Über die linearen Transformationen des komplexen Hilbertschen Raumes, Acta Univ. Szeged. vol. 5 (1930-1932) pp. 23-54.
- I. E. Segal, The group ring of a locally compact group. I, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 348–352. MR 4633, DOI 10.1073/pnas.27.7.348 —, Ring properties of certain classes of functions, Dissertation, Yale, 1940. van der Waerden, B. L., Moderne Algebra, Berlin, 1931. Weil, A., L’Integration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles, No. 869, 1940.
- J. H. M. Wedderburn, Algebras which do not possess a finite basis, Trans. Amer. Math. Soc. 26 (1924), no. 4, 395–426. MR 1501287, DOI 10.1090/S0002-9947-1924-1501287-1
Bibliographic Information
- © Copyright 1945 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 57 (1945), 364-386
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9947-1945-0013235-8
- MathSciNet review: 0013235