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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:

Authors: Marvin Rosenblum and James Rovnyak
Title: Hardy classes and operator theory
Additional book information: Oxford Mathematical Monographs, Oxford Univ. Press, New York and Clarendon Press, Oxford, 1985, xii + 161 pp., $39.95. ISBN 0-19-503591-7.

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

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  • 2. Harm Bart, Israel Gohberg, and Marinus A. Kaashoek, Minimal factorization of matrix and operator functions, Operator Theory: Advances and Applications, vol. 1, Birkhäuser Verlag, Basel-Boston, Mass., 1979. MR 560504
  • 3. L. de Branges and J. Rovnyak, Canonical models in quantum scattering theory: appendix on square summable power series, Perturbation Theory and its Application in Quantum Mechanics, Wiley, New York, 1966. MR 244795
  • 4. M. S. Brodskiĭ, Triangular and Jordan representations of linear operators, Transl. Math. Monogr. vol. 32, Amer. Math. Soc. Providence, R. I., 1971. MR 322542
  • 5. Paul A. Fuhrmann, Linear systems and operators in Hilbert space, McGraw-Hill International Book Co., New York, 1981. MR 629828
  • 6. John B. Garnett, Bounded analytic functions, Pure and Applied Mathematics, vol. 96, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 628971
  • 7. I. Gohberg, P. Lancaster, and L. Rodman, Matrix polynomials, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1982. Computer Science and Applied Mathematics. MR 662418
  • 8. Ulf Grenander and Gábor Szegő, Toeplitz forms and their applications, 2nd ed., Chelsea Publishing Co., New York, 1984. MR 890515
  • 9. J. W. Helton, The characteristic functions of operator theory and electrical network realization, Indiana Univ. Math. J. 22 (1972), 403-414. MR 306951
  • 10. J. W. Helton, Discrete time systems, operator models, and scattering theory, J. Funct. Anal. 16 (1974), 15-38. MR 445310
  • 11. P. Koosis, Introduction to H, Cambridge Univ. Press, Cambridge, 1980.
  • 12. B. Sz.-Nagy and C. Foiaş, Harmonic analysis of operators on Hilbert space, North-Holland, Amsterdam, 1970. MR 275190

Review Information:

Reviewer: Joseph A. Ball
Journal: Bull. Amer. Math. Soc. 16 (1987), 149-152
DOI: https://doi.org/10.1090/S0273-0979-1987-15495-4
American Mathematical Society