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|Type:||Artigo de periódico|
|Title:||The Kakutani's precompactness lemma|
|Abstract:||In this paper we establish a theorem that extends and sharpens an old precompactness lemma due to Kakutani. We use this theorem to derive the classical Arzela-Ascoli theorem and a theorem of Defant and Floret for families of linear operators. We also use this theorem to derive a theorem for composition operators which yields as immediate corollaries a theorem of Geue and a locally convex version of a theorem of Aron and Schottenloher. (C) 2004 Elsevier Inc. All rights reserved.|
|Editor:||Academic Press Inc Elsevier Science|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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