A representation theorem for operators on a space of interval functions

Suppose N is a Banach space of norm |•| and R is the set of real numbers. All integrals used are of the subdivision-refinement type. The main theorem [Theorem 3] gives a representation of TH where H is a function from R×R to N such that H(p+,p+), H(p,p+), H(p−,p−), and H(p−,p) each exist for each p...

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Bibliographic Details
Main Author: J. A. Chatfield
Format: Article
Language:English
Published: Wiley 1978-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171278000319
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