Bulletin of the American Mathematical Society

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Book Information:

Author: John B. Conway
Title: Subnormal operators
Additional book information: Research Notes in Math., 51, Pitman Advanced Publishing Program, Boston-London-Melbourne, 1981, xvii + 476 pp., $24.95. ISBN 0-8218-2184-9.

M. B. Abrahamse and R. G. Douglas, A class of subnormal operators related to multiply-connected domains, Advances in Math. 19 (1976), no. 1, 106–148. MR 397468, DOI 10.1016/0001-8708(76)90023-2

Sheldon Axler, John B. Conway, and Gerard McDonald, Toeplitz operators on Bergman spaces, Canadian J. Math. 34 (1982), no. 2, 466–483. MR 658979, DOI 10.4153/CJM-1982-031-1

Sterling K. Berberian, Introduction to Hilbert space, University Texts in the Mathematical Sciences, Oxford University Press, New York, 1961. MR 0137976

C. A. Berger and B. I. Shaw, Selfcommutators of multicyclic hyponormal operators are always trace class, Bull. Amer. Math. Soc. 79 (1973), 1193–1199, (1974). MR 374972, DOI 10.1090/S0002-9904-1973-13375-0

Arne Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1948), 239–255. MR 27954, DOI 10.1007/BF02395019

Scott W. Brown, Some invariant subspaces for subnormal operators, Integral Equations Operator Theory 1 (1978), no. 3, 310–333. MR 511974, DOI 10.1007/BF01682842

Kevin Clancey, Seminormal operators, Lecture Notes in Mathematics, vol. 742, Springer, Berlin, 1979. MR 548170

John B. Conway, Functions of one complex variable, 2nd ed., Graduate Texts in Mathematics, vol. 11, Springer-Verlag, New York-Berlin, 1978. MR 503901

Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. MR 0410387

Paul R. Halmos, Normal dilations and extensions of operators, Summa Brasil. Math. 2 (1950), 125–134. MR 44036

Paul R. Halmos, Commutators of operators, Amer. J. Math. 74 (1952), 237–240. MR 45310, DOI 10.2307/2372081

Paul R. Halmos, Spectra and spectral manifolds, Ann. Soc. Polon. Math. 25 (1952), 43–49 (1953). MR 0055581

P. R. Halmos, Quasitriangular operators, Acta Sci. Math. (Szeged) 29 (1968), 283–293. MR 234310

Charles Horowitz, Zeros of functions in the Bergman spaces, Duke Math. J. 41 (1974), 693–710. MR 357747

Robert F. Olin and James E. Thomson, Algebras of subnormal operators, J. Functional Analysis 37 (1980), no. 3, 271–301. MR 581424, DOI 10.1016/0022-1236(80)90045-2

C. R. Putnam, Commutation properties of Hilbert space operators and related topics, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 36, Springer-Verlag New York, Inc., New York, 1967. MR 0217618

C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Z. 116 (1970), 323–330. MR 270193, DOI 10.1007/BF01111839

Donald Sarason, The $H^{p}$ spaces of an annulus, Mem. Amer. Math. Soc. 56 (1965), 78. MR 188824

Donald Sarason, Weak-star density of polynomials, J. Reine Angew. Math. 252 (1972), 1–15. MR 295088, DOI 10.1515/crll.1972.252.1

Donald Sarason, Function theory on the unit circle, Virginia Polytechnic Institute and State University, Department of Mathematics, Blacksburg, Va., 1978. Notes for lectures given at a Conference at Virginia Polytechnic Institute and State University, Blacksburg, Va., June 19–23, 1978. MR 521811

Edgar Lee Stout, The theory of uniform algebras, Bogden & Quigley, Inc., Publishers, Tarrytown-on-Hudson, N.Y., 1971. MR 0423083

Dan Voiculescu, A note on quasitriangularity and trace-class self-commutators, Acta Sci. Math. (Szeged) 42 (1980), no. 1-2, 195–199. MR 576955

1.

M. B. Abrahamse and R. G. Douglas, A class of subnormal operators related to multiply-connected domains, Adv. in Math. 19 106-148. MR 0397468

2.

S. Axler, J. B. Conway and G. McDonald, Topelitz operators on Bergman spaces, Canada J. Math. 34 (1982), 466-483. MR 658979

3.

S. Berberian, Introduction to Hilbert spaces, Oxford Univ. Press, New York, 1961. MR 137976

4.

C. A. Berger and B. I. Shaw, Self commutators of multi-cyclic hyponormal operators are trace class, Bull. Amer. Math. Soc. 79 (1973), 1193-1199. MR 374972

5.

A. Beurling, On two problems concerning linear transformations in Hilbert space, Acta Math. 81 (1949), 239-255. MR 27954

6.

S. Brown, Some invariant subspaces for subnormal operators, Integral Equations Operator Theory 1 (1978), 310-333. MR 511974

7.

K. Clancey, Seminormal operators, Lecture Notes in Math., vol. 742, Springer-Verlag, Berlin and New York, 1979. MR 548170

8.

J. B. Conway, Functions of a complex variable, 2nd ed., Springer-Verlag, Berlin and New York, 1978. MR 503901

9.

T. Gamelin, Uniform algebras, Prentice-Hall, Englewood Cliffs, N.J., 1969. MR 410387

10.

P. R. Halmos, Normal dilations and extensions of operators, Summa Bras. Math. 2 (1950), 125-134. MR 44036

11.

P. R. Halmos, Commutators of operators, Amer. J. Math. 74 (1952), 237-240. MR 45310

12.

P. R. Halmos, Spectra and spectral manifolds, Ann. Soc. Polon. Math. 25 (1952), 43-49. MR 55581

13.

P. R. Halmos, Quasitriangular operators, Acta Sci. Math. (Szeged) 29 (1968), 283-293. MR 234310

14.

C. Horowitz, Zeros of functions in Bergman spaces, Duke Math. J. 41 (1974), 693-710. MR 357747

15.

R. F. Olin and J. E. Thompson, Algebras of subnormal operators, J. Functional Anal. 37 (1980), 271-301. MR 581424

16.

C. R. Putnam, Commutation properties of Hilbert space operators and related topics, Ergeb. Math. Grenzgeb., Band 36, Springer-Verlag, Berlin and New York, 1967. MR 217618

17.

C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Z. 116 (1970), 323-330. MR 270193

18.

D. Sarason, The H, Mem. Amer. Math. Soc. No. 56 (1965). MR 188824

19.

D. Sarason, Weak-star density of polynomials, J. Reine Angew. Math. 252 (1972), 1-15. MR 295088

20.

D. Sarason, Function theory on the circle, Lecture Notes, Virginia Polytechnic Institute, Blacksburg, 1978. MR 521811

21.

E. L. Stout, The theory of uniform algebras, Bogden and Quigley, Tarrytown, N.Y., 1971. MR 423083

22.

D. Voiculescu, A note on quasitriangularity and trace-class selfcommutators, Acta Sci. Math. (Szeged) 42 (1980), 195-199. MR 576955