Open Access
2009 Some Properties of lp(A,X) Spaces
Xiaohong Fu, Songxiao Li
Abstr. Appl. Anal. 2009: 1-8 (2009). DOI: 10.1155/2009/562507


We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1p< and determine its continuous dual for normed space X and 1<p<. In particular, we study the extension and characterization of isometries on lp(N,X) space, when X is a normed space with an unconditional basis and with a symmetric norm. In addition, we give a simple proof of the main result of G. Ding (2002).


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Xiaohong Fu. Songxiao Li. "Some Properties of lp(A,X) Spaces." Abstr. Appl. Anal. 2009 1 - 8, 2009.


Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1168.46301
MathSciNet: MR2516002
Digital Object Identifier: 10.1155/2009/562507

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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