Comparative study of convergence of sequence of functions in a Banach space.

Siba Mohammed Abubakar
Mathematics, Kwame Nkrumah University of Science and Technology
June, 2013
 

Abstract

We discuss four types of convergence of sequence of functions in a Banach space. The
convergence considered include point-wise, uniform , strong and weak convergence .
It is shown that uniform convergence implies the pointwise convergence and the strong
convergence implied the weak convergence.




 

 



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