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| Format: | Artículo científico |
| Language: | en |
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Academia Brasileira de Ciências
2013
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| Online Access: | https://www.redalyc.org/articulo.oa?id=32727844002 |
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Table of Contents:
- Generalized quasi-Banach sequence spaces and measures of noncompactness EDUARDO B. SILVA DIOCESAR L. FERNANDEZ LUDMILA NIKOLOVA Multidisciplinaria (Ciencias Naturales y Exactas) Quasi quasi Banach spaces convex functions interpolation theory Given 0 < s ≤ 1 and à an s -convex function, s − à -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s − à -spaces. For these spaces, new measures of noncompactness are also defi ned, related to the Hausdorff measure of noncompactness. As an application, compact sets ins − à -interpolation spaces of a quasi-Banach couple are studied. 2013 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32727844002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.2 Vol.85