# Banach Lecture 15

This lecture ( lecture15) was given on 9/30/09.

### Excepts

A bunch of examples were given about compact operators. For example, the Voltera operator on , defined by . The notes have a proof showing is compact for .

Prop II.2.2 An operator is compact iff its adjoint is compact.

Cor. is compact on (because its adjoint is).

Prop. II.2.3 The range of a compact operator contains no infinite dimensional subspaces.

Advertisements

## About this entry

You’re currently reading “Banach Lecture 15,” an entry on Math Meandering

- Published:
- October 1, 2009 / 9:39 pm

- Category:
- Banach Algebras (Course)

- Tags:

## No comments yet

Jump to comment form | comment rss [?] | trackback uri [?]