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On the projection and macphail constants ofl pn spaces

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Abstract

We prove that the projection and Macphail constants ofl pn (1≦p≦2) are asymptotically equivalent ton 1/2 andn −1/2 respectively. We also obtain some relations linking certain parameters of general finite dimensional real Banach spaces.

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Authors and Affiliations

  1. The Hebrew University of Jerusalem, Israel

    Yehoram Gordon

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  1. Yehoram Gordon
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Additional information

This note is a part of the author’s Ph.D. Thesis prepared at the Hebrew University of Jerusalem, under the supervision of Prof. J. Lindenstrauss, to whom the author wishes to express his thanks and appreciation.

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Gordon, Y. On the projection and macphail constants ofl pn spaces. Israel J. Math. 6, 295–302 (1968). https://doi.org/10.1007/BF02760261

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  • DOI: https://doi.org/10.1007/BF02760261

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