# Banach lecture 10

This lecture ( ) was given on 9/18/09.

### Excerpts

Some basic results were given on Pontryagin duality. Then it was:

### I.9 C^* Algebras

An involution of a Banach algebra is a map such that

Some examples were given. A -algebra is a Banach algebra equipped with an involution such that

Results; in a algebra

- The left and right regular representations are isometric.
- A unit can be adjoined to any nonunital -algebra to produce a unital -algebra.

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- Published:
- September 20, 2009 / 11:06 pm

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- Banach Algebras (Course)

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