The number of closed ideals in the algebra of bounded operators on Lebesgue spaces
Gideon Schechtman
Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel 76100
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Abstract
We survey some of the recent progress in determining the number of two-sided closed ideals in the Banach algebras of bounded linear operators on Lebesgue spaces, . In particular, we discuss two recent results: the first of Johnson, Pisier, and the author, showing that there are a continuum of such ideal in the case of ; the second a result of Johnson and the author, showing that in the case , , there are exactly 2 to the continuum such ideals.