Remote Access St. Petersburg Mathematical Journal

St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Original publication: Algebra i Analiz, tom 15 (2003), nomer 6.
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Vladimir Peller
Title: Hankel operators and their applications
Additional book information: Springer Monographs in Mathematics, Springer-Verlag, New York--Berlin--Heidelberg, 2003, viii+784 pp.

References [Enhancements On Off] (What's this?)

  • 1. U. Grenander and G. Szego, Toeplitz forms and their applications, Univ. California Press, Berkeley-Los Angeles, 1958. MR 0094840 (20:1349)
  • 2. A. Böttcher and B. Silbermann, Analysis of Toeplitz operators, Springer-Verlag, Berlin, 1990. MR 1071374 (92e:47001)
  • 3. S. C. Power, Hankel operators on Hilbert space, Res. Notes in Math., vol. 64, Pitman, Boston, MA-London, 1982. MR 0666699 (84e:47037)
  • 4. N. K. Nikol'skii, Treatise of the shift operator, ``Nauka'', Moscow, 1980; English transl., Grundlehren Math. Wiss., vol. 273, Springer-Verlag, Berlin-New York, 1986. MR 0827223 (87i:47042)
  • 5. -, Operators, functions, and systems: an easy reading. . I. Hardy, Hankel, and Toeplitz, Math. Surveys Monogr., vol. 92, Amer. Math. Soc., Providence, RI, 2002. MR 1864396 (2003i:47001a)

Review Information:

Reviewer: S. V. Kislyakov
Translated by: the reviewer
Journal: St. Petersburg Math. J. 15 (2004), 969-972
Published electronically: November 16, 2004
Review copyright: © Copyright 2004 American Mathematical Society
American Mathematical Society