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Book Review
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Book Information
Author(s):
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:
- 1.
- J. S. Baras and P. Dewilde, Invariant subspace methods in linear multivariable distributed systems and lumped distributed network synthesis, Proc. IEEE 64 (1976), 160-178. MR 416679
- 2.
- H. Bart, I. Gohberg and M. A. Kaashoek, Minimal factorization of matrix and operator functions, Operator Theory: Advances and Applications. I, Birkhäuser, Basel, 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.
- P. Fuhrmann, Linear systems and operators in Hilbert space, McGraw-Hill, New York, 1981. MR 629828
- 6.
- J. B. Garnett, Bounded analytic functions, Academic Press, New York, 1981. MR 628971
- 7.
- I. Gohberg, P. Lancaster and L. Rodman, Matrix polynomials, Academic Press, New York, 1982. MR 662418
- 8.
- U. Grenander and G. Szegő, Toeplitz forms and their applications, Chelsea, 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
Additional Information:
Reviewer(s):
Joseph A.
Ball
Review Information:
Journal:
Bull. Amer. Math. Soc.
16
(1987),
149-152.
DOI:
10.1090/S0273-0979-1987-15495-4
PII:
S 0273-0979(1987)15495-4
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