Commutator of operators

Speaker: Paramita Pramanick
Date: 2nd october,2018
Time: 9:15pm-10:15pm
 
Abstract:
The commutator of two operators A and B is defined as the operator AB-BA. In this talk we will start by proving a basic theorem about commutator of matrices : a complex matrix has trace zero if and only if it is a commutator. Then we will prove Kleinecke-Shirokov theorem.If time permits we may discuss limit of commutators and distance from a commutator to the identity.
 
Prerequisites: Basic Linear Algebra and Introduction to Functional Analysis.
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