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Smallness and the Covering of a Banach Space

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Abstract

We consider the notion of smallness and its applications to the characterization of isomorphically polyhedral Banach spaces and the existence of different coverings of either the unit sphere or the unit ball of a Banach space.

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Correspondence to Jesús M. F. Castillo.

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The research of the first author was realized during visits to the University of Bologna, supported in part by the project MTM2010–20190–C02–01, Junta de Extremadura (Spain) and the program Junta de Extremadura GR10113 IV Plan Regional I+D+i, Ayudas a Grupos de Investigaci´on. The topic of this research was presented during a lecture at the Mathematics Department of the University of Milano. The authors thank Prof. Zanco for his warm welcome.

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Castillo, J.M.F., Papini, P.L. Smallness and the Covering of a Banach Space. Milan J. Math. 80, 251–263 (2012). https://doi.org/10.1007/s00032-012-0188-5

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