Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1629-1639.

• Articles • Previous Articles     Next Articles

The Subrepresentation Theorems of the Conjugate Cones of Real Locally p-convex Spaces l p and Lp(μ)(0<p <|1)

 WANG Jian-Yong   

  1. Department of Mathematics, Changshu Institute of Technology, Jiangsu Changshu 215500
  • Received:2008-08-05 Revised:2009-09-17 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金(10871141)资助

Abstract:

This paper falls into the category of non-locally convex analysis. In this paper the author deals with the representation problems of the normed conjugate cones (l p)p* and [Lp(μ)]p* of real locally p-convex spaces l p and Lp(μ) (0<p< 1), obtains (l p)p*\simeq m+×m+ and [Lp(μ)]p*\simeq M+(μM+(μ), called the subrepresentation theorems of (l p)p* and [Lp(μ)]p* respectively.

Key words: Locally p-convex space, p-normed space, Normed conjugate cone, Shadow cone, Subrepresentation theorem

CLC Number: 

  • 46A16
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