# Banach Lecture 19

This lecture ( Banach19 ) was given on 10/9/09

### Excerpts

Thm II.3.1 For TFAE

- is Fredholm.
- such that and have finite rank.
- such that and are compact.

Thm II.3.2 if latex S \in \mathscr{L}(Y,Z)$ are Fredholm then is Fredholm of index

.

Thm II.3.3 (Stability thm) Let be Fredholm then s.t. if with then is Fredholm and .

Cor. If if Fredholm, is compact then is Fredholm and .

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You’re currently reading “Banach Lecture 19,” an entry on Math Meandering

- Published:
- October 12, 2009 / 6:46 pm

- Category:
- Banach Algebras (Course)

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