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Vector-valued means and weakly almost periodic functions

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  • Chuanyi Zhang

Abstract

A formula is set up between vector-valued mean and scalar-valued means that enables us translate many important results about scalar-valued means developed in [1] to vector-valued means. As applications of the theory of vector-valued means, we show that the definitions of a mean in [2] and [3] are equivalent and the space of vector-valued weakly almost periodic functions is admissible.

Suggested Citation

  • Chuanyi Zhang, 1994. "Vector-valued means and weakly almost periodic functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:439470
    DOI: 10.1155/S0161171294000347
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