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학술저널

ON STRONG C-INTEGRAL OF BANACH-VALUED FUNCTIONS

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In this paper, we de¯ne and study the Banach-valued C-integral and strong C-integral, We prove that the C-integral and the strong C-integral are equivalent if and only if the Banach space is ¯nite dimensional. We also study the primitive of the strong C-integral in terms of the C-variational measures.

1. Introduction

2. De¯nitions and basic properties

3. the C-variational measure and the strong C-integral

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