Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 1138-1143.

• Articles • Previous Articles     Next Articles

The Continuity of the Metric Projections on a Close Hyperplane in |Banach Space

 FANG Hong-Wei1, 2, SU Ya-La-Tu1   

  1. 1.Mathematics Science College, Inner Mongolia Normal University, Huhhot 010022;
    2.No Second Senior Middle School of Hailar Inner Mongolia, Inner Mongolia Hailar 021008
  • Received:2008-06-09 Revised:2009-08-06 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金和内蒙古自然科学基金(20080404MS0102)资助

Abstract:

In this paper,  the authors give a representation of the metric projections on a class of close hyperplanes in a dual space of Banach space  X. For  a  Banach space, some results of continuity of the metric projections on a class of close hyperplanes in  X or X* are obtained.

Key words: Metric projections, Close hyperplane, Banach space, Uppersemicontinuity

CLC Number: 

  • 46B20
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