## Eggert Briem (08/04/16)

Math Colloquium

### Speaker: Eggert Briem

Title: Real Banach algebras and norms on real \(C(X)\) spaces.

Location: V-157, VRII.

Time: Friday, April 8 at 13:20.

### Abstract:

A commutative *complex* unital Banach algebra can be represented as a space of continuous functions on a compact Hausdorff space via the Gelfand transform. However, in general it is not possible to represent a commutative *real* unital Banach algebra as a space of continuous real-valued functions on some compact Hausdorff space, additional conditions are needed. We shall discuss conditions which imply isomorphic representations and also discuss various complete algebra norm on real \(C(X)\) spaces which arise from such representations.