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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 1566951
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Charles F. Dunkl and Donald E. Ramirez
Title: Representations of commutative semitopological semigroups
Additional book information: Lecture Notes in Mathematics, no. 435, Springer-Verlag, Berlin, Heidelberg, New York, 1975, 181 + vi pp., $8.60.

References [Enhancements On Off] (What's this?)

  • J. F. Berglund and K. H. Hofmann, Compact semitopological semigroups and weakly almost periodic functions, Lecture Notes in Mathematics, No. 42, Springer-Verlag, Berlin-New York, 1967. MR 0223483
  • 2.
    Mary Katherine Bennett, Review of "Distributive Lattices by R. Balbes and P. Dwinger", Bull. Amer. Math. Soc. 82 (1976), 246-249.
  • R. B. Burckel, Weakly almost periodic functions on semigroups, Gordon and Breach Science Publishers, New York-London-Paris, 1970. MR 0263963
  • 4.
    H. Carruth, Hildebrant and R. J. Koch, Topological semigroups (to appear).
  • Karl Heinrich Hofmann, Topological semigroups history, theory, applications, Jber. Deutsch. Math.-Verein. 78 (1976/77), no. 1, 9–59. MR 424997
  • K. H. Hofmann, The duality of compact semigroups and $C^*$-bigebras, Lecture Notes in Mathematics, Vol. 129, Springer-Verlag, Berlin-New York, 1970. MR 0432803
  • 7.
    K. H. Hofmann, M. Mislove and A. Stralka, The Pontryagin duality of compact 0-dimensional semilattices and its applications, Lecture Notes in Math., vol. 396, Springer-Verlag, Berlin and New York, 1974. MR 50 #7398.
  • Karl Heinrich Hofmann and Paul S. Mostert, Elements of compact semigroups, Charles E. Merrill Books, Inc., Columbus, Ohio, 1966. MR 0209387
  • Jimmie D. Lawson, Additional notes on continuity in semitopological semigroups, Semigroup Forum 12 (1976), no. 3, 265–280. MR 405381, DOI 10.1007/BF02195932
  • Aida Beatrijs Paalman-de Miranda, Topological semigroups, Mathematisch Centrum, Amsterdam, 1964. Academisch Proefschrift ter Verkrijging van de Graad van Doctor in de Wiskunde en Natuurwetenschappen aan de Universiteit van Amsterdam. MR 0167963
  • N. J. Rothman and M. W. Schuh, Laplace tranforms on vanishing algebras, Semigroup Forum 8 (1974), no. 3, 189–214. MR 384983, DOI 10.1007/BF02194763
  • Joseph L. Taylor, Measure algebras, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 16, Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, Providence, R.I., 1973. Expository lectures from the CBMS Regional Conference held at the University of Montana, Missoula, Mont., June 1972. MR 0427949
  • J. H. Williamson, Harmonic analysis on semigroups, J. London Math. Soc. 42 (1967), 1–41. MR 208291, DOI 10.1112/jlms/s1-42.1.1

  • Review Information:

    Reviewer: Karl H. Hofmann
    Journal: Bull. Amer. Math. Soc. 83 (1977), 236-243
    DOI: https://doi.org/10.1090/S0002-9904-1977-14279-1