Normed algebras of differentiable functions on compact plane sets

We investigate the completeness and completions of the normed algebras (D(1)(X),∥•∥) for perfect, compact plane sets X. In particular, we construct a radially self-absorbing, compact plane set X such that the normed algebra (D(1)(X),∥•∥) is not complete. This solves a question of Bland and Feinstein...

Full description

Bibliographic Details
Main Authors: Dales, H.G., Feinstein, Joel
Format: Article
Published: Springer 2010
Subjects:
Online Access:https://eprints.nottingham.ac.uk/28114/