Bounded approximation properties via Banach operator ideals
This paper is based on a lecture delivered at the IV International Course of Mathematical Analysis in Andalucía. International Congress of Mathematical Analysis in memory of professor Antonio Aizpuru Tomás, September 8–12, 2009. The kind invitation and support for the meeting by the Organizers are gratefully acknowledged.
We survey some connections of the bounded approximation property with Banach operator ideals, both historical and recent ones. The exposition is self-contained and includes an introduction to Banach operator ideals.