Bulletin of the American Mathematical Society

MathSciNet review: 1567862
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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.

Stefan Banach, Théorie des opérations linéaires, Chelsea Publishing Co., New York, 1955 (French). MR 0071726

M. M. Dragilev, Standard form of basis for the space of analytic functions, Uspehi Mat. Nauk 15 (1960), no. 2 (92), 181–188 (Russian). MR 0116197

M. M. Dragilev, On regular bases in nuclear spaces, Mat. Sb. (N.S.) 68 (110) (1965), 153–173 (Russian). MR 0192310

[D3] M. M. Dragilev, On special dimension defined on classes of Köthe spaces, Mat. Sb. 9 (1969), 213-228. (Russian)

Per Enflo, A counterexample to the approximation problem in Banach spaces, Acta Math. 130 (1973), 309–317. MR 402468, DOI 10.1007/BF02392270

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, DOI 10.1007/BF01475440

W. Wojtyński, On conditional bases in non-nuclear Fréchet spaces, Studia Math. 35 (1970), 77–96. MR 271695, DOI 10.4064/sm-35-1-77-96

[B] S. Banach, Theorie des operations lineaires, Chelsea, New York, 1955. MR 0071726




[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