Given a metric space, an isometry is a transformation which preserves the distance. I will be interested in isometries from a normed space X to another normed space Y. Translation, reflection and rotation are some well-known examples of isometries.
On the other hand, we are familiar with projections. An operator P from a normed space X to X is a projection if P2 = P. Projections are building blocks of many otheroperators and are easy to understand.
This talk will explore the connections between the two operators described above. I will give plenty of examples of both types of operators on finite and infinite dimensional spaces.
Join us on Monday, Nov. 6, at 3:10 p.m. in Hayes 109 to hear this exciting presentation by Dey. We hope to see you there!