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Banach空间中几类非紧算子方程解的存在唯一性
引用本文:张斐然,刘鸣放. Banach空间中几类非紧算子方程解的存在唯一性[J]. 宝鸡文理学院学报(自然科学版), 2002, 22(3): 167-168,183. DOI: 10.3969/j.issn.1007-1261.2002.03.005
作者姓名:张斐然  刘鸣放
作者单位:1. 商丘师范学院,数学系,河南,商丘,476000;2. 河南大学师范学院,数学系,河南,开封,475000
基金项目:河南省教育厅科研项目;1999110018;
摘    要:利用锥与半序理论无需考虑紧性条件,研究了几类一元算子方程解的存在唯一性,所得结果改进和推广了增算子方程的某些已知相应结果.

关 键 词:锥与半序  算子方程  增算子  
文章编号:1007-1261(2002)03-0167-02

Existence and uniqueness of solutions of some noncompact operator equations in Banach sapces
ZHANG Fei ran ,LIU Ming fang. Existence and uniqueness of solutions of some noncompact operator equations in Banach sapces[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2002, 22(3): 167-168,183. DOI: 10.3969/j.issn.1007-1261.2002.03.005
Authors:ZHANG Fei ran   LIU Ming fang
Affiliation:ZHANG Fei ran 1,LIU Ming fang 2
Abstract:By using the cone and partial ordering theory without regarding compactness conditions,it is studied the existence uniqueness of the solutions of some single operator equations,the results presented here improve and generalize some corresponding results for increasing operator equations.
Keywords:cone and partial ordering  operator equations  increasing operator  solution
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