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Ambrose, Warren

Structure theorems for a special class of Banach algebras. (English) Zbl 0060.26906

Trans. Am. Math. Soc. 57, 364-386 (1945).
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Cited in 77 Documents

Keywords:

functional analysis
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\textit{W. Ambrose}, Trans. Am. Math. Soc. 57, 364--386 (1945; Zbl 0060.26906)
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References:

[1] Albert, A. A., Structure of algebras, Amer. Math. Soc. Colloquium Publications, vol. 24, 1939. · Zbl 0023.19901
[2] Banach, S., Théorie des opérations linéaires, Warsaw, 1932. · JFM 58.0420.01
[3] I. Gelfand, Normierte Ringe, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 3 – 24 (German, with Russian summary). · JFM 67.0406.02
[4] 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). · Zbl 0060.27006
[5] Gottfried Köthe, Abstrakte Theorie nichtkommutativer Ringe mit einer Anwendung auf die Darstellungstheorie kontinuierlicher Gruppen, Math. Ann. 103 (1930), no. 1, 545 – 572 (German). · JFM 56.0144.01 · doi:10.1007/BF01455710
[6] F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116 – 229. · Zbl 0014.16101 · doi:10.2307/1968693
[7] Riesz, F., Über die linearen Transformationen des komplexen Hilbertschen Raumes, Acta Univ. Szeged. vol. 5 (1930-1932) pp. 23-54. · JFM 56.0356.02
[8] I. E. Segal, The group ring of a locally compact group. I, Proc. Nat. Acad. Sci. U. S. A. 27 (1941), 348 – 352. · Zbl 0063.06858
[9] -, Ring properties of certain classes of functions, Dissertation, Yale, 1940.
[10] van der Waerden, B. L., Moderne Algebra, Berlin, 1931. · Zbl 0002.00804
[11] Weil, A., L’Integration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles, No. 869, 1940. · Zbl 0063.08195
[12] J. H. M. Wedderburn, Algebras which do not possess a finite basis, Trans. Amer. Math. Soc. 26 (1924), no. 4, 395 – 426. · JFM 50.0040.02
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