A degree theory for locally compact perturbations of Fredholm maps in Banach spaces
<p>We present an integer valued degree theory for locally compact perturbations of Fredholm maps of index zero between (open sets in) Banach spaces <emph>quasi-Fredholm maps</emph>, for short). The construction is based on the Brouwer degree theory and on the notion of orientation...
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| Format: | Article |
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| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/64764 |
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| collection | DOAJ |
| description | <p>We present an integer valued degree theory for locally compact perturbations of Fredholm maps of index zero between (open sets in) Banach spaces <emph>quasi-Fredholm maps</emph>, for short). The construction is based on the Brouwer degree theory and on the notion of orientation for nonlinear Fredholm maps given by the authors in some previous papers. The theory includes in a natural way the celebrated Leray-Schauder degree.</p> |
| format | Article |
| id | doaj-art-fe70de1c4a634457a9fdb208e695408b |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fe70de1c4a634457a9fdb208e695408b2025-02-03T07:24:44ZengWileyAbstract and Applied Analysis1085-33752006-01-012006A degree theory for locally compact perturbations of Fredholm maps in Banach spaces<p>We present an integer valued degree theory for locally compact perturbations of Fredholm maps of index zero between (open sets in) Banach spaces <emph>quasi-Fredholm maps</emph>, for short). The construction is based on the Brouwer degree theory and on the notion of orientation for nonlinear Fredholm maps given by the authors in some previous papers. The theory includes in a natural way the celebrated Leray-Schauder degree.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/64764 |
| spellingShingle | A degree theory for locally compact perturbations of Fredholm maps in Banach spaces Abstract and Applied Analysis |
| title | A degree theory for locally compact perturbations of Fredholm maps in Banach spaces |
| title_full | A degree theory for locally compact perturbations of Fredholm maps in Banach spaces |
| title_fullStr | A degree theory for locally compact perturbations of Fredholm maps in Banach spaces |
| title_full_unstemmed | A degree theory for locally compact perturbations of Fredholm maps in Banach spaces |
| title_short | A degree theory for locally compact perturbations of Fredholm maps in Banach spaces |
| title_sort | degree theory for locally compact perturbations of fredholm maps in banach spaces |
| url | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/AAA/2006/64764 |