ZHANG Li-xun, LIU Yong-zhi, OU Zhong-hua, DAI Zhi-yong, PENG Zeng-shou. Unitary-Semigroups of 4n-2 Order Evolution Equation[J]. Journal of University of Electronic Science and Technology of China, 2006, 35(1): 130-132.
Citation: ZHANG Li-xun, LIU Yong-zhi, OU Zhong-hua, DAI Zhi-yong, PENG Zeng-shou. Unitary-Semigroups of 4n-2 Order Evolution Equation[J]. Journal of University of Electronic Science and Technology of China, 2006, 35(1): 130-132.

Unitary-Semigroups of 4n-2 Order Evolution Equation

  • A generating operator of 4n-2 order evolution equation is obtained and this operator generates a semigroup when 4n-2 order evolution equation is changed into one order evolution equation set. The unitary semigroups which are generated by generating operator of 4n-2 order evolution equation is discussed. The unitary semigroups (n>1) are proven true when they append an equal yoke operator norm. In particular, the semigroup (n=1) is called Golstein's unitary and a more simply probative method to Ref.3 by semiring is offered.
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