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C^k-Banach流形中特殊算子的秩定理
  • ISSN号：1000-0984
  • 期刊名称：《数学的实践与认识》
  • 时间：0
  • 分类：O177.2[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨师范大学数学系,黑龙江哈尔滨150080, [2]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006
  • 相关基金：国家自然科学基金项目（10671049）;哈尔滨师范大学科学技术研究项目（KM2007-13）
作者： 李强[1,2], 马丽丽[2], 王玉文[1]
关键词： 秩定理, Fredholm映射, C^k-Banach流形, 广义逆, 局部精细点, rank theorem, Fredholm map, C^k-Banach manifolds, generalized inverse, local free point
中文摘要：

Ma J P给出了Banach空间中Fredholm映射的秩定理,运用广义逆理论和局部精细点来对上述结果进行推广,给出了C^k-Banach流形之间Fredholm映射的秩定理.

英文摘要：

Ma J P given the rank theorem for Fredholm map between Banach spaces. Using of the generalized inverse theory and the definition of local fine point to extend this theorem, given the rank theorem for Fredholm map between C^k-Banach manifolds.

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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:22973