Israel Journal of Mathematics

, Volume 71, Issue 2, pp 225–227 | Cite as

Factoring operators through Hilbert space

  • Denny H. Leung


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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  1. [P]
    G. Pisier,Factorization of Linear Operators and Geometry of Banach Spaces, Regional Conference Series in Mathematics, no. 60. American Math. Society, Providence 1986.Google Scholar
  2. [PR]
    A. Pełczyński and H. P. Rosenthal,Localization techniques in L p spaces, Studia Math.52 (1975), 263–289.Google Scholar

Copyright information

© The Weizmann Science Press of Israel 1990

Authors and Affiliations

  • Denny H. Leung
    • 1
  1. 1.Department of MathematicsThe University of Texas at AustinAustinUSA

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