Skip to Main Content

Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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: 1567831
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Bernard Beauzamy
Title: Introduction to operator theory and invariant subspaces
Additional book information: North-Holland, Amsterdam, New York, Oxford, Tokyo, 1988, xiv + 358 pp., $84.25. ISBN 0-444-7052-X.

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

  • Constantin Apostol, Ultraweakly closed operator algebras, J. Operator Theory 2 (1979), no. 1, 49–61. MR 553863
  • 2.
    C. Apostol, C. Foiaş, and D. Voiculescu, Some results on nonquasitriangular operators. IV, Rev. Roumaine Math. Pures Appl. 43 (1973), 487-514.
  • N. Aronszajn and K. T. Smith, Invariant subspaces of completely continuous operators, Ann. of Math. (2) 60 (1954), 345–350. MR 65807, DOI 10.2307/1969637
  • William Arveson, Ten lectures on operator algebras, CBMS Regional Conference Series in Mathematics, vol. 55, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1984. MR 762819, DOI 10.1090/cbms/055
  • B. Beauzamy, Sous-espaces invariants de type fonctionnel dans les espaces de Banach, Séminaire d’Analyse Fonctionnelle (1978–1979), École Polytech., Palaiseau, 1979, pp. Exp. No. 27, 25 (French). MR 557379
  • B. Beauzamy, Un opérateur sans sous-espace invariant: simplification de l’exemple de P. Enflo, Integral Equations Operator Theory 8 (1985), no. 3, 314–384 (French). MR 792905, DOI 10.1007/BF01202903
  • Scott W. Brown, Some invariant subspaces for subnormal operators, Integral Equations Operator Theory 1 (1978), no. 3, 310–333. MR 511974, DOI 10.1007/BF01682842
  • S. Brown, B. Chevreau, and C. Pearcy, Contractions with rich spectrum have invariant subspaces, J. Operator Theory 1 (1979), no. 1, 123–136. MR 526294
  • Bernard Chevreau and Carl Pearcy, On the structure of contraction operators. I, J. Funct. Anal. 76 (1988), no. 1, 1–29. MR 923042, DOI 10.1016/0022-1236(88)90046-8
  • Ronald G. Douglas, Banach algebra techniques in operator theory, Pure and Applied Mathematics, Vol. 49, Academic Press, New York-London, 1972. MR 0361893
  • Nelson Dunford and Jacob T. Schwartz, Linear operators. Part II: Spectral theory. Self adjoint operators in Hilbert space, Interscience Publishers John Wiley & Sons, New York-London, 1963. With the assistance of William G. Bade and Robert G. Bartle. MR 0188745
  • Per Enflo, On the invariant subspace problem for Banach spaces, Acta Math. 158 (1987), no. 3-4, 213–313. MR 892591, DOI 10.1007/BF02392260
  • I. C. Gohberg and M. G. Kreĭn, Teoriya vol′terrovykh operatorov v gil′bertovom prostranstve i ee prilozheniya, Izdat. “Nauka”, Moscow, 1967 (Russian). MR 0218923
  • P. R. Halmos, Quasitriangular operators, Acta Sci. Math. (Szeged) 29 (1968), 283–293. MR 234310
  • Paul Richard Halmos, A Hilbert space problem book, 2nd ed., Encyclopedia of Mathematics and its Applications, vol. 17, Springer-Verlag, New York-Berlin, 1982. MR 675952
  • C. J. Read, A solution to the invariant subspace problem, Bull. London Math. Soc. 16 (1984), no. 4, 337–401. MR 749447, DOI 10.1112/blms/16.4.337

  • Review Information:

    Reviewer: Hari Bercovici
    Journal: Bull. Amer. Math. Soc. 22 (1990), 148-152