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Matrices, Eigenvalues, and the Size of a Linear Transformation

by

Christopher Hammond
Connecticut College

May 20, 2004
4:30 pm
Bailey Hall 106


Abstract:

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 from Rn to Rn can be represented by an n × n matrix. This talk introduces the concept of the size (or more properly, the norm) 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.
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