Bandyopadhyay, Pradipta and Li, Yongjin and Lin, Bor-Luh and Narayana, Darapaneni (2008) Proximinality in Banach spaces. In: Journal of Mathematical Analysis and Applications, 341 (1). pp. 309-317.
2.pdf - Published Version
Restricted to Registered users only
Download (163Kb) | Request a copy
In this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is the norm or the weak topology. We show that the metric projection onto τ-strongly Chebyshev sets are norm-τ continuous. We characterize approximatively τ-compact and τ-strongly Chebyshev hyperplanes and use them to characterize factor reflexive proximinal subspaces in τ-almost locally uniformly rotund spaces. We also prove some stability results on approximatively τ-compact and τ-strongly Chebyshev subspaces.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Elsevier Science.|
|Keywords:||Approximatively τ-compact;τ-Strongly Chebyshev;Metric projection;τ-Almost locally uniformly rotund.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||30 Mar 2010 07:33|
|Last Modified:||19 Sep 2010 05:58|
Actions (login required)