Abstract
It is proved that a Banach space is isomorphic toc o or tol p if and only if it has a normalized basis {χi i } ∞i=1 which is equivalent to every normalized block-basis with respect to {χi i } ∞i=1 .
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This is part of the author’s Ph.D. thesis prepared at the Hebrew University of Jerusalem under the supervision of Prof. A. Dvoretzky and Dr. J. Lindenstrauss. The author wishes to thank Dr. Lindenstrauss for his helpful guidance and for the interest he showed in the paper, and the referee for his valuable remakrs.
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Zippin, M. On perfectly homogeneous bases in Banach spaces. Israel J. Math. 4, 265–272 (1966). https://doi.org/10.1007/BF02771642
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DOI: https://doi.org/10.1007/BF02771642