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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?)

  • 1. John S. Baras and Patrick Dewilde, Invariant subspace methods in linear multivariable-distributed systems and lumped-distributed network synthesis, Proc. IEEE 64 (1976), no. 1, 160–178. Recent trends in system theory. MR 0416679
  • 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. Louis de Branges and James Rovnyak, Canonical models in quantum scattering theory, Perturbation Theory and its Applications in Quantum Mechanics (Proc. Adv. Sem. Math. Res. Center, U.S. Army, Theoret. Chem. Inst., Univ. of Wisconsin, Madison, Wis., 1965) Wiley, New York, 1966, pp. 295–392. MR 0244795
  • 4. M. S. Brodskiĭ, Triangular and Jordan representations of linear operators, American Mathematical Society, Providence, R.I., 1971. Translated from the Russian by J. M. Danskin; Translations of Mathematical Monographs, Vol. 32. MR 0322542
  • 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. William Helton, The characteristic functions of operator theory and electrical network realization, Indiana Univ. Math. J. 22 (1972/73), 403–414. MR 0306951, https://doi.org/10.1512/iumj.1972.22.22035
  • 10. J. William Helton, Discrete time systems, operator models, and scattering theory, J. Functional Analysis 16 (1974), 15–38. MR 0445310
  • 11. P. Koosis, Introduction to H, Cambridge Univ. Press, Cambridge, 1980.
  • 12. Béla Sz.-Nagy and Ciprian Foiaş, Harmonic analysis of operators on Hilbert space, Translated from the French and revised, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York; Akadémiai Kiadó, Budapest, 1970. MR 0275190

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