## Eggert Briem (08/04/16)

Sigurður Örn Stefánsson, apríl 4, 2016

Málstofa í stærðfræði

### Fyrirlesari: Eggert Briem Titill: Real Banach algebras and norms on real $$C(X)$$ spaces.

Staðsetning: V-157, VRII.
Tími: Föstudagur 8. apríl kl. 13:20.

### Ágrip:

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.