姚玉武,刘恒,胡秀林.Banach空间上强混合的C0-半群[J].数学年刊A辑,2010,31(2):203~210
Banach空间上强混合的C0-半群
The Strongly Mixing C0-Semigroup on Banach Spaces
  
DOI:
中文关键词:  强混合  C0-半群  转移半群  Banach空间
英文关键词:Strong mixing  C0-semigroup  Translation semigroup  Banach space
基金项目:安徽省教育厅自然科学基金,合肥学院人才引进基金
Author NameAffiliationE-mail
YAO Yuwu Department of Mathematics and Physics, Hefei University, Hefei 230601, China. mr6688@sina.com 
LIU Heng Department of Mathematics, Dalian Nationalities University, Dalian 116600, Liaoning, China. liuheng?80@163.com 
HU Xiulin Department of Mathematics and Physics, Hefei University, Hefei 230601, China. huxlxy@hfuu.edu.cn 
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中文摘要:
      证明了每个可分无限维复Banach空间上都存在一个强混合的Co-半群,在加权函数空间上给出了转移半群是强混合的一个充要条件.
英文摘要:
      It is shown that every separable infinite dimensional complex Banach space admits a strongly mixing C0-semigroup. A necessary and sufficient condition for a translation semigroup to be strong mixing in weighted function spaces is given.
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