## Banach function algebras and approximate identities

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

AttachmentSize
Dales.pdf137.1 KB