Differentiation Theory over Infinite-Dimensional Banach Spaces

We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded real sequences xnn∈I and a measure over RI,B(I) that generalizes the k-dimensional Lebesgue one. Moreover, we expose a differentiation theory for the functions defined over this space. The main result...

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Bibliographic Details
Main Author: Claudio Asci
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2016/2619087