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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.

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.

 

Book Review

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


MathSciNet review: 1567792
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Hari Bercovici
Title: $H^\infty$ Operator theory and arithmetic in
Additional book information: Mathematical Surveys and Monographs, No. 26, American Mathematical Society, Providence, R.I., 1988, xii + 275 pp., $67.00. ISBN 0-8218-1528-8.

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

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  • Kenneth R. Davidson and Domingo A. Herrero, The Jordan form of a bitriangular operator, J. Funct. Anal. 94 (1990), no. 1, 27–73. MR 1077544, DOI 10.1016/0022-1236(90)90027-I
  • L. J. Gray, Jordan representation for a class of nilpotent operators, Indiana Univ. Math. J. 26 (1977), no. 1, 57–64. MR 425653, DOI 10.1512/iumj.1977.26.26003
  • Béla Sz.-Nagy and Ciprian Foiaş, Sur les contractions de l’espace de Hilbert. VII. Triangulations canoniques. Fonction minimum, Acta Sci. Math. (Szeged) 25 (1964), 12–37 (French). MR 170216
  • Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. Translated from the French and revised. MR 0275190
  • Béla Sz.-Nagy, Unitary dilations of Hilbert space operators and related topics, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 19, American Mathematical Society, Providence, R.I., 1974. Expository Lectures from the CBMS Regional Conference held at the University of New Hampshire, Durham, N.H., June 7-11, 1971. MR 0482291
  • L. R. Williams, A quasisimilarity model for algebraic operators, Acta Sci. Math. (Szeged) 40 (1978), no. 1-2, 185–188. MR 500226

  • Review Information:

    Reviewer: Pei Yuan Wu
    Journal: Bull. Amer. Math. Soc. 21 (1989), 184-186
    DOI: https://doi.org/10.1090/S0273-0979-1989-15811-4