A Comparative Study of Convergence of Sequence of Functions in a Banach space

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2013-12-04
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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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A Thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirements for the degree of Master Of Philosophy, April-2013
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