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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Authors: P. K. Kamthan and M. Gupta
Title: Schander bases: Behavior and stability
Additional book information: Pitman Monographs in Pure and Applied Mathematics, Longman Scientific and Technical, New York, 514 pp., $ 79.95. ISBN 0-470-21029-X.

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

  • [B] S. Banach, Theorie des operations lineaires, Chelsea, New York, 1955. MR 71726
  • [D1] M. M. Dragilev, Standard form of a basis for the space of analytic functions, Uspekhi Mat. Nauk 15 (1960), 181-188. (Russian) MR 116197
  • [D2] M. M. Dragilev, On regular bases in nuclear spaces, Mat. Sb. 68 (1965), 153-173. (Russian) MR 192310
  • [D3] M. M. Dragilev, On special dimension defined on classes of Köthe spaces, Mat. Sb. 9 (1969), 213-228. (Russian)
  • [E] Per Enflo, A counter example to the approximation problem in Banach spaces, Acta Math. 130 (1973), 309-317. MR 402468
  • [KG1] P. K. Kamthan and M. Gupta, Sequence spaces and series, Marcel Dekker, New York, 1981. MR 606740
  • [KG2] P. K. Kamthan and M. Gupta, Theory of bases and cones, Pitman, London, 1985. MR 789784
  • [KG3] P. K. Kamthan and M. Gupta, Schauder bases: Behavior and stability, Pitman, London, 1988. MR 981362
  • [S] M. J. Schauder, Zur Theorie stetiger Abbildungen in Funktionairaumen, Math. Z. 26 (1927), 47-65. MR 1544841
  • [W] W. Wojtynski, On conditional bases in non-nuclear Fréchet spaces, Studia Math. 35 (1970), 77-96. MR 271695

Review Information:

Reviewer: J. R. Retherford
Journal: Bull. Amer. Math. Soc. 23 (1990), 167-173
DOI: https://doi.org/10.1090/S0273-0979-1990-15925-7
American Mathematical Society