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Hahn-Banach extension of multilinear forms and summability |
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| Authors: | H. Jarchow,C. Palazuelos,D. Pé rez-Garcí a,I. Villanueva |
| Affiliation: | a Institut für Mathematik, Universität Zürich, CH 8057 Zürich, Switzerland b Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain c Departamento de Matemática Aplicada, ESCET Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain |
| 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. |
| Keywords: | Multilinear forms Bilinear forms Hahn-Banach extension Summing properties |
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