# Mathematical Sciences Research Institute

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# Seminar

GFA Main Seminar: Ideals in L(L_p) December 12, 2017 (03:30 PM PST - 04:30 PM PST)
Parent Program: Geometric Functional Analysis and Applications MSRI: Simons Auditorium
Speaker(s) William Johnson (Texas A & M University)
Description No Description
Video
Abstract/Media

I'll discuss the Banach algebra structure of the spaces of bounded linear operators on ell_p and L_p:=L_p(0,1).

The main new results are

1. The only non trivial closed ideal in L(L_p), for 1 <= p < infty, that

has a left approximate identity is the ideal of compact operators (joint

with N. C. Phillips and G. Schechtman).

2. There are infinitely many; in fact, a continuum; of closed ideals in

L(L_1) (joint with G. Pisier and G. Schechtman).

The second result answers a question from the 1978 book of A. Pietsch,

Operator ideals".