Lieb-Thirring Inequalities. Recent results.

Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one dimension. This allows us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schrödinger operators.


**** Please note the unusual start time - this is to allow the speaker time to arrive. If his train is late, the start may have to be postponed further - I shall email all regular seminar participants in this case. (If you are not a regular participant, but intend to attend this seminar, please let me know in advance, and I shall add you to my list.)
/Niels