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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The Tomita decomposition of rings of operators
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by Joseph L. Taylor PDF
Trans. Amer. Math. Soc. 113 (1964), 30-39 Request permission
References
  • Errett Bishop and Karel de Leeuw, The representations of linear functionals by measures on sets of extreme points, Ann. Inst. Fourier (Grenoble) 9 (1959), 305–331. MR 114118
  • Gustave Choquet, Unicité des représentations intégrales au moyen de points extrémaux dans les cônes convexes réticulés, C. R. Acad. Sci. Paris 243 (1956), 555–557 (French). MR 80720
  • Gustave Choquet, Existence des représentations intégrales au moyen des points extrémaux dans les cônes convexes, C. R. Acad. Sci. Paris 243 (1956), 699–702 (French). MR 80264
  • L. H. Loomis, Unique direct integral decompositions on convex sets, Amer. J. Math. 84 (1962), 509–526. MR 145038, DOI 10.2307/2372987
  • M. A. Naĭmark, Normed rings, P. Noordhoff N. V., Groningen, 1959. Translated from the first Russian edition by Leo F. Boron. MR 0110956
  • Minoru Tomita, Representations of operator algebras, Math. J. Okayama Univ. 3 (1954), 147–173. MR 62359
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 113 (1964), 30-39
  • MSC: Primary 46.65
  • DOI: https://doi.org/10.1090/S0002-9947-1964-0167854-0
  • MathSciNet review: 0167854