Factoring operators through Hilbert space
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.
Unable to display preview. Download preview PDF.
- [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
- [PR]A. Pełczyński and H. P. Rosenthal,Localization techniques in L p spaces, Studia Math.52 (1975), 263–289.Google Scholar
© The Weizmann Science Press of Israel 1990