Completions of normed algebras of differentiable functions

• Autorzy: William J. Bland , Joel F. Feinstein
• Języki publikacji: EN

Abstrakty

EN

We look at normed spaces of differentiable functions on compact plane sets, including the spaces of infinitely differentiable functions considered by Dales and Davie in [7]. For many compact plane sets the classical definitions give rise to incomplete spaces. We introduce an alternative definition of differentiability which allows us to describe the completions of these spaces. We also consider some associated problems of polynomial and rational approximation.

Kategorie tematyczne

• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 170
• Numer: 1
• Strony: 89-111

Daty

wydano

2005

Twórcy

autor

William J. Bland

• School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, England

autor

Joel F. Feinstein

• School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, England

Identyfikatory

DOI

10.4064/sm170-1-5