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On asphericity of convex bodies in linear normed spaces

In 1960, Dvoretzky proved that in any infinite dimensional Banach space X and for any [Formula: see text] there exists a subspace L of X of arbitrary large dimension ϵ-iometric to Euclidean space. A main tool in proving this deep result was some results concerning asphericity of convex bodies. In th...

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Detalles Bibliográficos
Autores principales: Faried, Nashat, Morsy, Ahmed, Hussein, Aya M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5799377/
https://www.ncbi.nlm.nih.gov/pubmed/29445261
http://dx.doi.org/10.1186/s13660-018-1624-z