10/14/2011 - 1:30pm

10/14/2011 - 2:30pm

Speaker:

Asuma Aksoy (Claremont McKenna College)

Abstract:

Let be a Banach algebra of all continuous linear operators on a Banach space and .

For , the operator norm of is defined as

while its numerical radius

under the added condition that .

The interplay between and has been the subject of much research since Bauer's definition of numerical range in the 's. After pointing out some major results in this area, I discuss how extensions of operators, in particular the minimality of projections, can be measured with respect to numerical radii.

Where:

Millikan 213, Pomona College

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