Thursday, December 3, 2009

Some Remarks on Closure and Strong Continuity

An-Najah University Journal for Research - Natural Sciences (A) ISSN: 1727-2114
Volume 12 , 1998, Pages: 07-20


Some Remarks on Closure and Strong Continuity

Mohammad Saleh

Department of Mathematics, Birzeit University, Birzeit, Palestine
Received : 13-12-1997 , Accepted : 27-10-1998
Language: English
Abstract

Noire studied several properties of weak continuity in Proc। Amer. Math. Soc. 46(1), 120-124. In this paper it is shown that similar to most of the results of the above paper still hold for closure and strong continuity. Example 2 is a counterexample to a corollary to Theorem 6 of Long and Herrington. Theorem 12 of our paper is a sharper result to Theorem 5 of Noire. Several decomposition theorems of closure and strong continuity are obtained.

http://www.najah.edu/index.php?page=2149&l=en&extra=%26id%3D546

No comments:

Post a Comment