Consider the L^p triangle inequality for f unctions\, |f+g| \\leq |f|+|g|\, which is saturated when f=g\, but which i s poor when f and g have disjoint support. Carbery proposed a slightly mor e complicated inequality to take into account the orthogonality\, or lack of it\, ofthe two functions. With Eric Carlen and Rupert Frank it has now been proved. In fact\, a much stronger version has been proved. Actually\, Carbery was mainly interested in (non-commutative) matrices and traces in stead of functions and integrals\, so there is still much to be done.

A. Carbery\, '\;Almost-orthogon ality in the Schatten-von Neumann classes'\;\,J. Operator Theory 62 (20 09)\, 151158.

LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS T Austria ORGANIZER:jdeanton@ist.ac.at SUMMARY:Proof of a Conjecture of Carbery URL:https://talks-calendar.app.ist.ac.at/events/1229 END:VEVENT END:VCALENDAR