Bulletin of the American Mathematical Society

MathSciNet review: 1567602
Full text of review: PDF   This review is available free of charge.
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.

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

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

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

M. S. Brodskiĭ, Triangular and Jordan representations of linear operators, Translations of Mathematical Monographs, Vol. 32, American Mathematical Society, Providence, R.I., 1971. Translated from the Russian by J. M. Danskin. MR 0322542

Paul A. Fuhrmann, Linear systems and operators in Hilbert space, McGraw-Hill International Book Co., New York, 1981. MR 629828

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

I. Gohberg, P. Lancaster, and L. Rodman, Matrix polynomials, Computer Science and Applied Mathematics, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1982. MR 662418

Ulf Grenander and Gábor Szegő, Toeplitz forms and their applications, 2nd ed., Chelsea Publishing Co., New York, 1984. MR 890515

J. William Helton, The characteristic functions of operator theory and electrical network realization, Indiana Univ. Math. J. 22 (1972/73), 403–414. MR 306951, DOI 10.1512/iumj.1972.22.22035

J. William Helton, Discrete time systems, operator models, and scattering theory, J. Functional Analysis 16 (1974), 15–38. MR 0445310, DOI 10.1016/0022-1236(74)90069-x

11.

P. Koosis, Introduction to H, Cambridge Univ. Press, Cambridge, 1980.

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

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 0416679

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