A Fredholm mapping of index zero
Sufficient conditions are given to assert that between any two Banach spaces over K Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2008 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/60285 |
| Online Access: | http://hdl.handle.net/11441/60285 |
| Access Level: | Open access |
| Keyword: | Zero point Continuation methods Continuous dependence theorem C1-homotopy Proper mapping Compact mapping Regular value Fredholm mapping Isomorphism |
| Summary: | Sufficient conditions are given to assert that between any two Banach spaces over K Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods. |
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