Abstract
A short proof is given to a theorem of Pelczynski concerning universal bases.
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References
C. Bessage and A. Pelczynski,On bases and unconditional convergence of series in Banach spaces, Studia Math.17 (1958), 151–164.
W. B. Johnson and A. Szankowski,Complementably universal Banach spaces (to appear).
W. B. Johnson and M. Zippin,On subspaces of quotients of (ΣGn)l p and ΣGn)C 0, Israel J. Math.13 (1972), 311–316.
J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces, Lecture Notes in Math. No. 338, Springer Verlag, 1973.
A. Pelczynski,Universal bases, Studia Math.32 (1969), 247–268.
A. Pelczynski and P. Wojtaszczyk,Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces, Studia Math.40 (1971), 91–108.
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This is part of the author’s Ph.D. thesis written at the Hebrew University of Jerusalem under the supervision of Professor J. Lindenstrauss. The author wishes to thank Professor Lindenstrauss for his guidance.
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Schechtman, G. On pelczynski’s paper “universal bases”. Israel J. Math. 22, 181–184 (1975). https://doi.org/10.1007/BF02761587
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DOI: https://doi.org/10.1007/BF02761587