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Book Information

Author(s): S. C. Power
Title: Hankel operators on Hilbert space
Additional book information: Research Notes in Mathematics, No. 64, Pitman Advanced Publishing Program, Boston-London-Melbourne, 1982, 87 pp., $13.95. ISBN 0-273-08518-2

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4.: S. Axler, S.-Y. A. Chang and D. Sarason, Products of Toeplitz operators, J. Integral Equations Operator Theory 1 (1978), 285-309. MR 511973
5.: C. Carathéodory and L. Fejér, Über den Zusammenhang der Extremen von harmonischen Funktionen mit ihren Koeffizienten und über den Picard-Landauschen Satz, Rend. Circ. Math. Palermo 32 (1911), 218-239.
6.: D. N. Clark, On the spectra of bounded, Hermitian Hankel matrices, Amer. J. Math. 90 (1968), 627-656. MR 231112
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9.: R. R. Coifman and R. Rochberg, Representation theorems for holomorphic and harmonic functions in L, Astérisque 77 (1980), 11-66. MR 604369
10.: I. C. Goldberg and N. Ja. Krupnik, The algebra generated by Toeplitz matrices, Funkcional Anal. i Prilozen 3 (1969), 45-56. MR 250082
11.: P. Hartman, On completely continuous Hankel matrices, Proc. Amer. Math. Soc. 9 (1958), 362-366. MR 108684
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16.: Z. Nehari, On bounded bilinear forms, Ann. of Math. (2) 65 (1957), 153-162. MR 82945
17.: V. V. Peller, Hankel operators of the class γ, Mat. Sb. (N.S.) 113 (155) (1980), 538-581. MR 602274
18.: S. C. Power, The essential spectrum of a Hankel operator with piecewise continuous symbol, Michigan Math. J. 25 (1978), 117-121. MR 487567
19.: S. C. Power, C*-algebra generated by Hankel operators and Toeplitz operators, J. Functional Analysis 31 (1979), 52-68. MR 523113
20.: S. C. Power, Hankel operators with PQC symbol and singular integral operators, Proc. London Math. Soc. 40 (1980), 45-65. MR 579716
21.: C. R. Putnam, Commutators and absolutely continuous operators, Trans. Amer. Math. Soc. 87 (1958), 513-525. MR 100226
22.: M. Rosenblum, On the Hilbert matrix. I, II, Proc. Amer. Math. Soc. 9 (1958), 137-140; 9 (1958), 581-585. MR 94626
23.: M. Rosenblum, The absolute continuity of Toeplitz's matrices, Pacific J. Math. 10 (1960), 987-996. MR 114125
24.: T. Takagi, On an algebraic problem related to an analytic theorem of Carathéodory and Fejér and on an allied theorem of Landau, Japanese J. Math. 1 (1924), 83-93.
25.: A. L. Volberg, Two remarks concerning the theorem of S. Axler, S.-Y. A. Chang and D. Sarason, J. Operator Theory 7 (1982), 209-218. MR 658609

Review Information:
Journal: Bull. Amer. Math. Soc. 9 (1983), 98-102.
DOI: 10.1090/S0273-0979-1983-15171-6
PII: S 0273-0979(1983)15171-6

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

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