The Representation of the Linear Operator on the Space of Bochner Integrable Functions
Received:November 27, 1989  
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Di Jizheng Shanxi Teacher's University 
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Abstract:
      In studying representation of linear operator on the space of Bochner integra-ble functions by integral, authors, usually, demand that the range space X have the Radon-Nikodym property. In this paper, we study such a representation but abandon the Radon-Nikodym property and give a sufficient and necessary condi-tion for the representability of a linear operator by integral .
Citation:
DOI:10.3770/j.issn:1000-341X.1991.02.009
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