Hahn–Banach extension of multilinear forms and summability
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2007
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Academic Press
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Jarchow, H., Palazuelos Cabezón, C., Pérez García, D. & Villanueva Díaz, I. «Hahn–Banach Extension of Multilinear Forms and Summability». Journal of Mathematical Analysis and Applications, vol. 336, n.o 2, diciembre de 2007, pp. 1161-77. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2007.03.057.
Abstract
The aim of this paper is to investigate close relations between the validity of Hahn–Banach extension theorems for multilinear forms on Banach spaces and summability properties of sequences from these spaces. A case of particular importance occurs when we consider Banach spaces which have the property that every bilinear form extends to any superspace.