When

Start: 03/11/2014 - 4:15pm

End : 03/11/2014 - 5:15pm

End : 03/11/2014 - 5:15pm

Category

Colloquium

Speaker

H. G. Dales (Lancaster University)

Abstract

Let be a locally compact space. Then is the Banach algebra of all continuous,

complex-valued functions on that vanish at infinity, taken with the pointwise algebraic

operations and uniform norm . The maximal modular ideals of have the

form , where . We see that each of these maximal

ideals has a contractive approximate identity: this is a net in

with and for each .

Now suppose that is a Banach function algebra on such that each maximal modular

ideal has such a contractive approximate identity. Must we have ? Or can you

think of such an algebra with ? How close does the group algebra of

a locally compact group come to having the above properties?

This is joint work with Ali Ülger of Istanbul

Where

Seeley G. Mudd Science Library 126, Pomona College

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Dales.pdf | 137.1 KB |