Chapter 4
4. Regularity conditions and their implications
Definitions of a variety of regularity conditions for Banach function algebras, with associated examples. Connections with the hull-kernel topology and the ideal structure. Implications and connections with decomposable operators, automatic continuity, and the splitting of Banach algebra extensions.
- The lecture notes as written in the lectures (PDF) – Slides 59 to 80
- Full podcast:
- Slides 59 to 75 (Lecture 3; second half)
- Slides 75 to 80 (Lecture 4; first half)
- Pauseless podcast (though quieter comments and questions may be lost):
- Slides 59 to 75 (Lecture 3; second half)
- Slides 75 to 80 (Lecture 4; first half)