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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Topologies and projections on Riesz spaces
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by Hugh Gordon PDF
Trans. Amer. Math. Soc. 94 (1960), 529-551 Request permission
References
  • Heinz Bauer, Eine Rieszsche Bandzerlegung im Raum der Bewertungen eines Verbandes, S.-B. Math.-Nat. Kl. Bayer. Akad. Wiss. 1953 (1953), 89–117 (1954) (German). MR 62963
  • Heinz Bauer, Über die Beziehungen einer abstrakten Theorie des Riemann-Integrals zur Theorie Radonscher Masse, Math. Z. 65 (1956), 448–482 (German). MR 83019, DOI 10.1007/BF01473893
  • Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876
  • N. Bourbaki, Espaces vectoriels topologiques, Hermann, Paris, 1953-1955.
  • P. J. Daniell, A general form of integral, Ann. of Math. (2) 19 (1918), no. 4, 279–294. MR 1502538, DOI 10.2307/1967495
  • H. Gordon, Compatible topologies on Riesz spaces. Preliminary report, Bull. Amer. Math. Soc. vol. 63 (1957) p. 233.
  • H. Gordon and E. R. Lorch, The projection of a linear functional on the manifold of integrals, Canadian J. Math. 9 (1957), 465–474. MR 91985, DOI 10.4153/CJM-1957-055-7
  • E. R. Lorch, On integration theory, Bull. Amer. Math. Soc. vol. 63 (1957) pp. 377-378.
  • Isaac Namioka, Partially ordered linear topological spaces, Mem. Amer. Math. Soc. 24 (1957), 50. MR 94681
  • Frédéric Riesz, Sur quelques notions fondamentales dans la théorie générale des opérations linéaires, Ann. of Math. (2) 41 (1940), 174–206 (French). MR 902, DOI 10.2307/1968825
  • G. T. Roberts, Topologies in vector lattices, Proc. Cambridge Philos. Soc. 48 (1952), 533–546. MR 50873, DOI 10.1017/s0305004100076295
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Additional Information
  • © Copyright 1960 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 94 (1960), 529-551
  • MSC: Primary 46.00
  • DOI: https://doi.org/10.1090/S0002-9947-1960-0113123-0
  • MathSciNet review: 0113123