Book Review
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MathSciNet review:
1567792
Full text of 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.
Douglas N. Clark, One dimensional perturbations of restricted shifts, J. Analyse Math. 25 (1972), 169–191. MR 301534, DOI 10.1007/BF02790036
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
- 1.
- D. N. Clark, One dimensional perturbations of restricted shifts, J. D'analyse Math. 25 (1972), 169-191. MR 0301534
- 2.
- K. R. Davidson and D. A. Herrero, The Jordan form of a bitriangular operator, preprint, 1988. MR 1077544
- 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