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Bulletin of the American Mathematical Society

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

Book Review

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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?)

  • 1. D. N. Clark, One dimensional perturbations of restricted shifts, J. D'analyse Math. 25 (1972), 169-191. MR 301534
  • 2. 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, https://doi.org/10.1016/0022-1236(90)90027-I
  • 3. L. J. Gray, Jordan representation for a class of nilpotent operators, Indiana Univ. Math. J. 26 (1977), 57-64. MR 425653
  • 4. B. Sz.-Nagy and C. Foiaş, Sur les contractions de l'espace de Hilbert. VII. triangulations canoniques, fonctions minimum, Acta Sci. Math. (Szeged) 25 (1964), 12-37. MR 170216
  • 5. B. Sz.-Nagy and C. Foiaş, Harmonie analysis of operators on Hilbert space, North-Holland, Amsterdam, 1970. MR 275190
  • 6. B. Sz.-Nagy, Unitary dilations of Hilbert space operators and related topics, CBMS Regional Conf. Ser. in Math., no. 19, Amer. Math. Soc., Providence, R. I., 1974. MR 482291
  • 7. L. R. Williams, A quasisimilarity model for algebraic operators, Acta Sci. Math. (Szeged) 40 (1978), 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
American Mathematical Society