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Book Information

Author(s): 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

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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
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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

Review Information:
Journal: Bull. Amer. Math. Soc. 8 (1983), 511-515.
DOI: 10.1090/S0273-0979-1983-15144-3
PII: S 0273-0979(1983)15144-3

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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