Skip to Main Content

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.

 

Seminorms and the Egoroff property in Riesz spaces
HTML articles powered by AMS MathViewer

by John A. R. Holbrook PDF
Trans. Amer. Math. Soc. 132 (1968), 67-77 Request permission
References
    S. Banach and C. Kuratowski, Sur une généralisation du problème de mesure, Fund. Math. 14 (1929), 127-131.
  • N. Bourbaki, Eléments de mathématique. XIII. Première partie: Les structures fondamentales de l’analyse. Livre VI: Intégration. Chapitre I: Inégalités de convexité. Chapitre II: Espaces de Riesz. Chapitre III: Mesures sur les espaces localement compacts. Chapitre IV: Prolongement d’une mesure; espaces $L^p$, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1175, Hermann & Cie, Paris, 1952 (French). MR 0054691
  • D. T. Egoroff, Sur les suites des fonctions mesurables, C. R. Acad. Sci. Paris 152 (1911), 244-246.
  • Kurt Gödel, The Consistency of the Continuum Hypothesis, Annals of Mathematics Studies, No. 3, Princeton University Press, Princeton, N. J., 1940. MR 0002514
  • Shozo Koshi, On semi-continuity of functionals. I, Proc. Japan. Acad. 34 (1958), 513–517. MR 0100778
  • W. A. J. Luxemburg and A. C. Zaanen, Notes on Banach function spaces, Proc. Acad. Sci. Amsterdam; Note I, A66 (1963), 135-147; Note II, A66, 148-153; Note III, A66, 239-250; Note IV, A66, 251-263; Note V, A66, 496-504; Note VI, A66, 655-668; Note VII, A66, 669-681; Note VIII, A67 (1964), 104-119; Note IX, A67, 360-376; Note X, A67, 493-506; Note XI, A67, 507-518; Note XII, A67, 519-529; Note XIII, A67, 530-543. W. A. J. Luxemburg, Notes on Banach function spaces, Proc. Acad. Sci. Amsterdam : Note XIV, A68 (1965), 229-248; Note XV, A68, 415-446; Note XVI, A68, 646-667.
  • W. A. J. Luxemburg, On finitely additive measures in Boolean algebras, J. Reine Angew. Math. 213 (1963/64), 165–173. MR 163859, DOI 10.1515/crll.1964.213.165
  • —, Non-standard analysis, 2nd ed., California Inst. of Tech., Pasadena, Calif., 1964.
  • Hidegorô Nakano, Modulared Semi-Ordered Linear Spaces, Maruzen Co. Ltd., Tokyo, 1950. MR 0038565
  • W. Sierpiński, Hypothèse du continu, Monogr. Mat., Warsaw, 1934.
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 46.06
  • Retrieve articles in all journals with MSC: 46.06
Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 132 (1968), 67-77
  • MSC: Primary 46.06
  • DOI: https://doi.org/10.1090/S0002-9947-1968-0228979-8
  • MathSciNet review: 0228979