Criteria for the Metric Generalized Inverse and its Selections in Banach Spaces

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• 作者：Henryk Hudzik ; Yuwen Wang and Wenjing Zheng
• 关键词：Banach space ; Densely defined closed linear operators ; Metric generalized inverse ; Bounded homogeneous selection ; Moore– ; Penrose conditions
• 刊名：Set-Valued Analysis
• 出版年：2008
• 出版时间：March, 2008
• 年：2008
• 卷：16
• 期：1
• 页码：51-65
• 全文大小：355.7 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1877-0541

文摘

We investigate the metric generalized inverses of linear operators in Banach spaces and their homogeneous selections, which was the research suggestion given by Nashed and Votruba (Bull. Am. Math. Soc. 80:831–835, 1974). We construct a kind of the bounded homoneneous selections for the set-valued metric generalized inverse. Criteria for the metric generalized inverses of linear operators and their homogeneous selections are given in terms of Moore–Penrose conditions.