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Continuity and Complete Continuity of a Kind of Nonlinear Operators in Fenchel-Orlicz Spaces

Continuity and Complete Continuity of a Kind of Nonlinear Operators in Fenchel-Orlicz Spaces
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摘要 Urysohn's operators are a very important kind of nonlinear operators. Many scholars investigated their properties in various spaces. Similar to Urysohn's operators, a kind of nonlinear operators is introduced, and their continuity and complete continuity in a kind of Fenchel-Orlicz spaces are discussed in this paper. The results obtained are a generalization of the corresponding results in [1-4]. Urysohn's operators are a very important kind of nonlinear operators. Many scholars investigated their properties in various spaces. Similar to Urysohn's operators, a kind of nonlinear operators is introduced, and their continuity and complete continuity in a kind of Fenchel-Orlicz spaces are discussed in this paper. The results obtained are a generalization of the corresponding results in [1-4].
出处 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 1990年第3期1-6,共6页 Journal of Harbin Institute of Technology
关键词 非线性算子 乌里松算子 Fenchel-Orlicz空间 连续性 完全连续性 Fenchel-Orlicz spaces continuity and complete continuity
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参考文献5

  • 1Wu Congxin,Orlica Space and Its Application( In Chinese),1983年
  • 2Yu Xuanbing,Point Set Topology(In Chinese),1983年
  • 3Zhang Shangtai,数学学报,1964年,14卷,1期,37页
  • 4Zhang Shangtai,数学学报,1963年,13卷,2期,284页
  • 5Guo Dajun,Scientia Sinica,1962年,11卷,4期,437页

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