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Polynomial sequential continuity on C(k,e) spaces

Villanueva, Ignacio and Bombal Gordón, Fernando (2003) Polynomial sequential continuity on C(k,e) spaces. Journal of Mathematical Analysis and Applications, 282 (1). pp. 341-355. ISSN 0022-247X


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We show that, for bounded sequences in C(K,E), the polynomial sequential convergence is not equivalent to the pointwise polynomial sequential convergence. We introduce several conditions on E under which different versions of the result are true when K is a scattered compact space. These conditions are related with some others appeared in the literature and they seem to be of independent interest.

Item Type:Article
Uncontrolled Keywords:Polynomial sequential continuity; C(K,E) spaces
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:11655
Deposited On:01 Dec 2010 10:49
Last Modified:06 Feb 2014 09:08

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