Coapproximation in Linear Spaces
Received:October 27, 1999  
Key Words: locally convex spaces   strongly (f-) Kolmogorov set   (strongly)(f-) coapproxi-mation   normed linear spaces.  
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Author NameAffiliation
NI Ren-xing Dept. of Math.
Shaoxing College of Arts and Sciences
Zhejiang
China 
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Abstract:
      In this paper,we study some properties of (f-) coapproximation and strongly (f-) coapproximation in locally convex spaces and normed linear spaces. The characterization theorems of (f-) coapproximation, strongly (f-) coapproximation, and strongly (f-) Kol-mogorov set in locally convex spaces are obtained. Meanwhile, we give two examples to show that two main theorems of G. S. Rao do not hold, and then establish the corresponding correct results, parts of our results extend and improve the corresponding results due to Song、Rao、Narang and other authors.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.03.017
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