Normed algebras of differentiable functions on compact plane sets

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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...

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Bibliographic Details
Main Authors:	Dales, H.G., Feinstein, Joel
Format:	Article
Published:	Springer 2010
Subjects:	Normed algebra differentiable functions Banach function algebra completions pointwise regularity of compact plane sets
Online Access:	https://eprints.nottingham.ac.uk/28114/

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