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Operator Algebra Seminars

Fri., Nov. 24, 2017 10:00 a.m. - Fri., Nov. 24, 2017 11:30 p.m.

Location: ED 612

Speaker: Andrew McKee, University of Saskatchewan

Title: Schur multiplication and matrices of operators

Abstract:

In this talk I will develop the theory arising from the entry-wise product of matrices. We will see how this gives examples of completely bounded and completely positive maps, how the theory contains Fourier multipliers as a special case, and some striking characterisations of these Schur multipliers which go back to Grothendieck.

In the second part of the talk I will describe my work to generalise these ideas to matrices with entries in a C*-algebra, how we can obtain new versions of several classical characterisations, and some of the difficulties which we encountered in the more general setting.