PIMS Lethbridge Analysis Seminar Series: Alexey Popov
Topic
Isometries of the Toeplitz Matrix Algebra and the Preserver Problems
Speakers
Details
In this talk we will outline a large class of problems in Analysis (in particular, Matrix Analysis) called the Preserver Problems and then concentrate on a specific preserver problem: study the structure of isometries defined on the algebra A of upper-triangular Toeplitz matrices. We will use a range of ideas in algebra, operator theory and linear algebra to show that every linear isometry T from A to M_n is of the form T(A)=UAV, where U and V are two unitary matrices. This implies, in particular, that every such an isometry is a complete isometry and that a unital linear isometry A->M_n is necessarily an algebra homomorphism.
The talk will be aimed at a wide audience, and no background beyond an upper-level Linear Algebra course will be assumed.
Additional Information
Location: Room D634
Alexey Popov, University of Lethbridge
Alexey Popov, University of Lethbridge
This is a Past Event
Event Type
Scientific, Seminar
Date
September 23, 2016
Time
-
Location