## Matrices, Eigenvalues, and the Size of a Linear Transformation |

**Christopher Hammond**

Connecticut College

May 20, 2004

4:30 pm

Bailey Hall 106

The study of linear transformations is one of the principal topics of linear algebra. Any student of the subject remembers, for example, that a linear transformation fromR^{n}toR^{n}can be represented by ann×nmatrix. This talk introduces the concept of the size (or more properly, thenorm) of a linear transformation. We will discuss this concept in the context of finite-dimensional vector spaces, providing several concrete examples. We will also consider the topic in relation to certain linear transformations on infinite-dimensional vector spaces. As a final treat, we will state a few recent results along these lines, theorems proved by the speaker and by Professor Carswell.

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

Union College Math Department Home PageComments to: math@union.edu Created automatically on: Tue Oct 23 08:14:31 EDT 2018 |