Jarchow , Hans and Palazuelos Cabezón, Carlos and Pérez García, David and Villanueva Díez, Ignacio (2007) Hahn–Banach extension of multilinear forms and summability. Journal of Mathematical Analysisand applications, 336 (2). pp. 1161-1177. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/journal/0022247X
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Multilinear forms; Bilinear forms; Hahn–Banach extension; Summing properties |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 14529 |
| Deposited On: | 07 Feb 2012 10:08 |
| Last Modified: | 07 Feb 2012 10:08 |
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