Bingham, N. H. and Ostaszewski, Adam (2007) Analytic automaticity: the theorems of Jones and Kominek. LSE-CDAM-2007-24. London school of economics and political science, London, UK.
Full text not available from this repository.Abstract
We use Choquet's analytic capacitability theorem and the Kestelman-Borwein-Ditor theorem (on the inclusion of null sequences by translation) to derive results on `analytic automaticity' -- for instance, a stronger common generalization of the Jones/Kominek theorems that an additive function whose restriction is continuous/bounded on an analytic set T spanning R (e.g., containing a Hamel basis) is continuous on R. We obtain results on `compact spannability' -- the ability of compact sets to span R. From this, we derive Jones' Theorem from Kominek's. We cite several applications including the Uniform Convergence Theorem of regular variation.
| Item Type: | Monograph (Report) |
|---|---|
| Official URL: | http://www.cdam.lse.ac.uk/Reports/ |
| Additional Information: | © 2007 London school of economics and political science |
| Library of Congress subject classification: | H Social Sciences > H Social Sciences (General) |
| Sets: | Departments > Mathematics |
| Identification Number: | LSE-CDAM-2007-24 |
| Date Deposited: | 10 Jul 2008 08:41 |
| URL: | http://eprints.lse.ac.uk/6830/ |
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