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Factoring operators through Hilbert space

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Abstract

We give an example of a pair of Banach spacesE andF so that neitherE′ norF has cotype 2, but every bounded linear operator fromE intoF factors through Hilbert space.

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References

  1. G. Pisier,Factorization of Linear Operators and Geometry of Banach Spaces, Regional Conference Series in Mathematics, no. 60. American Math. Society, Providence 1986.

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  2. A. Pełczyński and H. P. Rosenthal,Localization techniques in L p spaces, Studia Math.52 (1975), 263–289.

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Authors and Affiliations

  1. Department of Mathematics, The University of Texas at Austin, 78712, Austin, TX, USA

    Denny H. Leung

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  1. Denny H. Leung
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Leung, D.H. Factoring operators through Hilbert space. Israel J. Math. 71, 225–227 (1990). https://doi.org/10.1007/BF02811886

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  • DOI: https://doi.org/10.1007/BF02811886

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