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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: 1567513
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Zbigniew Semadeni
Title: Schauder bases in Banach spaces of continuous functions
Additional book information: Lecture Notes in Mathematics, vol. 918, Springer-Vedag, Berlin, 1982, v + 135 pp., $9.80. ISBN 3-5401-1481-5.

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

  • C. Bessaga and A. Pełczyński, Spaces of continuous functions. IV. On isomorphical classification of spaces of continuous functions, Studia Math. 19 (1960), 53–62. MR 113132, DOI 10.4064/sm-19-1-53-62
  • Z. Ciesielski, Hölder conditions for realizations of Gaussian processes, Trans. Amer. Math. Soc. 99 (1961), 403–413. MR 132591, DOI 10.1090/S0002-9947-1961-0132591-2
  • Per Enflo, A counterexample to the approximation problem in Banach spaces, Acta Math. 130 (1973), 309–317. MR 402468, DOI 10.1007/BF02392270
  • B. R. Gelbaum and J. Gil de Lamadrid, Bases of tensor products of Banach spaces, Pacific J. Math. 11 (1961), 1281–1286. MR 147881
  • L. A. Gurevič, On a basis in the space of continuous functions defined on a closed bounded set in $n$-dimensional space, Voronež. Gos. Univ. Trudy Fiz.-Mat. Sb. 27 (1954), 84–87 (Russian). MR 0075554
  • W. B. Johnson, H. P. Rosenthal, and M. Zippin, On bases, finite dimensional decompositions and weaker structures in Banach spaces, Israel J. Math. 9 (1971), 488–506. MR 280983, DOI 10.1007/BF02771464
  • A. A. Miljutin, Isomorphism of the spaces of continuous functions over compact sets of the cardinality of the continuum, Teor. Funkciĭ Funkcional. Anal. i Priložen. Vyp. 2 (1966), 150–156. (1 foldout) (Russian). MR 0206695
  • F. S. Baher, On a basis in the space of continuous functions defined on a compactum, Dokl. Akad. Nauk SSSR (N.S.) 101 (1955), 589–592 (Russian). MR 0069394

  • Review Information:

    Reviewer: Stanislaw J. Szarek
    Journal: Bull. Amer. Math. Soc. 11 (1984), 244-246