The three-line theorem on the octonions is obtained, which generalizes the result of J. Peetre and P. Sj?lin from the associative Clifford algebra to non-associative octonion algebra.
基金Research supported by the NNSF (19631080)973 Project of China (1999075105)+1 种基金NSF of Guangdong (030497,020586)NSF of Guangzhou (232)
文摘The three-line theorem on the octonions is obtained, which generalizes the result of J. Peetre and P. Sj?lin from the associative Clifford algebra to non-associative octonion algebra.
