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Bulletin of the American Mathematical Society

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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
  • P. K. Kamthan and Manjul Gupta, Sequence spaces and series, Lecture Notes in Pure and Applied Mathematics, vol. 65, Marcel Dekker, Inc., New York, 1981. MR 606740
  • P. K. Kamthan and M. Gupta, Theory of bases and cones, Research Notes in Mathematics, vol. 117, Pitman (Advanced Publishing Program), Boston, MA, 1985. MR 789784
  • P. K. Kamthan and M. Gupta, Schauder bases: behaviour and stability, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 42, Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1988. MR 981362
  • Julius Schauder, Zur Theorie stetiger Abbildungen in Funktionalräumen, Math. Z. 26 (1927), no. 1, 47–65 (German). MR 1544841, https://doi.org/10.1007/BF01475440
  • [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