Convergence results for function spaces over o-minimal structures

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THOMAS, Margaret, 2012. Convergence results for function spaces over o-minimal structures. In: Journal of Logic and Analysis, pp. 1-14. ISSN 1759-9008

@article{Thomas2012Conve-18062, title={Convergence results for function spaces over o-minimal structures}, year={2012}, doi={10.4115/jla.2012.4.1}, issn={1759-9008}, journal={Journal of Logic and Analysis}, pages={1--14}, author={Thomas, Margaret} }

Thomas, Margaret First publ. in: Journal of Logic & Analysis ; 4 (2012). - 1, pp. 1-14 2012-03-20T07:31:09Z deposit-license eng Convergence results for function spaces over o-minimal structures 2012 2012-03-20T07:31:09Z We begin the development of a theory of Banach spaces in the definable setting of o-minimal structures. We outline several results which develop the theory of compact embeddings for explicitly given function spaces. One aim is to explain the substantive underpinnings of an important observation used in the proof of the Reparameterization Theorem of Pila and Wilkie. We place this observation in the broader context of our theory and demonstrate how it may be refined further. Thomas, Margaret

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