## Banach algebras and automatic continuity

- Dales
- Banach algebras and automatic continuity
- 2001

@inproceedings{AutomaticCF, title={Automatic Continuity for Banach Alge- Bras}, author={} }

The basic question in automatic continuity theory is the following. Let A and B be Ba-nach algebras, and let : A ! B be a homo-morphism. What algebraic conditions on A and/or B ensure that the homomorphism is automatically continuous? A variation of the question is the following. Let A be a Ba-nach algebra, let E be a Banach A-bimodule, and let D : A ! E be a derivation. What algebraic conditions on A and/or E ensure that D is automatically continuous? There are important generalizations of the… CONTINUE READING