具公共值的Fredholm紧映射

J. M. 索里阿诺

具公共值的Fredholm紧映射

J. M. 索里阿诺

塞维拉大学数学学院数学系, 塞维拉41080, 西班牙

基金项目: D.G.E.S.PB基金资助项目(96-1338-CO2-01);Junta de Andalucia基金

详细信息

中图分类号: O177.2;O192
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- 被引次数: 0
出版历程
- 收稿日期: 2000-11-22
- 刊出日期: 2001-06-15

Fredholm and Compact Mappings Sharing a Value

J. M. Soriano

Departmento de Anûlisis Matemûtico, Facultad de Matemûticas, Universidad de Sevilla, Aptdo 1160, Sevilla 41080, Spain

摘要

摘要: 给出了Banach空间之间的两个可微映射具有公共值的充分条件,证明的方法本质上是基于延拓法。
- 延拓法 /
- C¹-同伦 /
- 满射 /
- 隐函数定理 /
- 紧映射 /
- Fredholm映射 /
- 零指数 /
- 单射 /
- 微分同胚
Abstract: Sufficient conditions are given to assert that two differentiable mappings between Banach spaces have common values.The proof is essentially based upon continuation methods.
- zero point /
- continuation methods /
- C¹-homotopy /
- surjective implicit-function theorem /
- compact mapping /
- Fredholm mapping /
- index zero /
- injective /
- diffeomorphism

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参考文献(20)

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