Abstract
A kind of cone separation theorems is established, by which the extension theorems for cone linear continuous operators are developed. As an application, the extension theorem for positive linear continuous operators is given.
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Communicated by DING Xie-ping
Foundation item: the National Natural Science Foundation of China (69972036); the Natural Science Foundation of Shanxi Province (99SL02)
Biographies: SHENG Bao-huai (1962-) LIU San-yang (1959-)
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Bao-huai, S., San-yang, L. & Hua, M. The extension theorems of cone linear operators. Appl Math Mech 23, 71–78 (2002). https://doi.org/10.1007/BF02437732
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DOI: https://doi.org/10.1007/BF02437732