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Polynomial sequential continuity on C(k,e) spaces



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Villanueva, Ignacio y 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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URL Oficial: http://www.sciencedirect.com/science/journal/0022247X


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.

Tipo de documento:Artículo
Palabras clave:Polynomial sequential continuity; C(K,E) spaces
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:11655
Depositado:01 Dic 2010 10:49
Última Modificación:03 Feb 2016 15:32

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