In this talk, we will be following Friis and Rordam's approach to proving a classic result of Lin-that if two matrices almost commute, then there are a pair of commuting matrices very close to them. Broadly, this takes the form of a sequence of modifications to an element's spectrum that keep it within epsilon in order to eventually reduce to a discrete-spectrum element and use polynomial functional calculus to achieve our final goal. If there's time, we may use some of the framework established here to show a generalization of Lin's original result, as well.
Our C*-Seminar will still (as it was last year) be on Wednesdays, but the time will now be a bit different: 1:30-2:45 pm (Arizona time, no daylight savings), meeting both in person (WXLR A309) and via zoom.
Also new: it's now the ASUERAU C*-Seminar (so, joint with our friends Lara and Mitch at Embry-Riddle Aeronautical University up the road in Prescott).
(Please email the organizer John Quigg quigg@asu.edu to be put on the email list if you would like to receive the link to the zoom seminar.)
Valerie Morris
Graduate Student
University of Nebraska-Lincoln