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Book Information

Author(s): M. Martin and M. Putinar
Title: Lectures on hyponormal operators
Additional book information: Birkhauser, Boston, 1989, 305 pp., $80.00. ISBN 3-7643-2329-9

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5.: S. W. Brown, Hyponormal operators with thick spectra have invariant subspaces, Ann. of Math. 125 (1987), 93-103. MR 873378
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10.: J. B. Conway, A course in functional analysis, 2nd ed., Springer-Verlag, New York, 1990. MR 1070713
11.: P. R. Halmos, Normal dilations and extensions of operators, Summa Bras. Math. 2 (1950), 125-134. MR 44036
12.: P. R. Halmos, Introduction to Hilbert space, Chelsea, New York, 1957.
13.: J. W. Helton and R. Howe, Integral operators, commutator traces, index and homology, in Proc. Conf. Operator Theory, Lecture Notes in Math., vol. 345, Springer-Verlag, Berlin, 1973. MR 390829
14.: T. Kato, Smooth operators and commutators, Studia Math. 31 (1968), 535-546. MR 234314
15.: J. D. Pincus, Commutators and systems of singular integral equations, I, Acta Math. 121 (1968), 219-249. MR 240680
16.: M. Putinar, Hyponormal operators are subscalar, J. Operator Theory 12 (1984), 385-393. MR 757441
17.: C. R. Putnam, On the structure of semi-normal operators, Bull. Amer. Math. Soc. (N.S.) 69 (1963), 818-819. MR 166613
18.: C. R. Putnam, An inequality for the area of hyponormal spectra, Math Z. 116 (1970), 323-330. MR 270193
19.: M. Rosenblum, A spectral theorem for selfadjoint singular operators, Amer. J. Math. 88 (1966), 314-328. MR 198294
20.: J. E. Thomson, Invariant subspaces for algebras of subnormal operators, Proc. Amer. Math. Soc. 96 (1986), 462-464. MR 822440
21.: D. Xia, On non-normal operators, I, Chinese J. Math. 3 (1963), 232-246. MR 507200
22.: D. Xia, On non-normal operators, II, Acta Math. Sinica 21 (1978), 187-189. MR 507200
23.: D. Xia, The analytic model of a subnormal operator, Integral Equations Operator Theory 10 (1987), 258-289. MR 878248
24.: D. Xia, Analytic theory of subnormal operators, Integral Equations Operator Theory 10 (1987), 880-903. MR 911997

Review Information:
Journal: Bull. Amer. Math. Soc. 24 (1991), 441-447.
DOI: 10.1090/S0273-0979-1991-16062-3
PII: S 0273-0979(1991)16062-3

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

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