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Gel’fand theory in
algebras of differentiable functions on Banach spaces
José Esteban Galé |
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Vol. 119 (1985), No. 2, 303–315
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Abstract |
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We study algebras of differentiable functions on a reflexive Banach space, defined by polynomial approximation on bounded sets. We find the spectra of such algebras and we investigate the structure of their closed ideals. In relation to this, we treat also an approximation problem of functions f such that f,f1,…,f(m) vanish on a weakly compact set by a method involving radical algebras and the Ahlfors-Heins theorem. |
Mathematical Subject Classification 2000
Primary: 46G20
Secondary: 46J15, 58C25
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Milestones
Received: 16 May 1983
Revised: 15 April 1984
Published: 1 October 1985
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Authors |
| José Esteban Galé | |
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