Uniqueness of the algebraic multiplicity
Given a smooth function £ of a real or complex variable and taking its values in the class of Fredholm operators of index zero in a Banach space, there are some available definitions in the literature of algebraic multiplicity of the family £ at a point x0 of the parameter at which the operator £(x0...
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1797070454462087168 |
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| author | Mora-Corral, C |
| author_facet | Mora-Corral, C |
| author_sort | Mora-Corral, C |
| collection | OXFORD |
| description | Given a smooth function £ of a real or complex variable and taking its values in the class of Fredholm operators of index zero in a Banach space, there are some available definitions in the literature of algebraic multiplicity of the family £ at a point x0 of the parameter at which the operator £(x0) becomes non-invertible. The purpose of this paper is to suggest an axiomatic for the multiplicity and to prove that the algebraic multiplicity is uniquely determined by a few of its properties, independently of its construction. |
| first_indexed | 2024-03-06T22:39:04Z |
| format | Journal article |
| id | oxford-uuid:5ae8921e-bde0-4dbb-8af7-494c6cb86666 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:39:04Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:5ae8921e-bde0-4dbb-8af7-494c6cb866662022-03-26T17:18:49ZUniqueness of the algebraic multiplicityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5ae8921e-bde0-4dbb-8af7-494c6cb86666EnglishSymplectic Elements at Oxford2004Mora-Corral, CGiven a smooth function £ of a real or complex variable and taking its values in the class of Fredholm operators of index zero in a Banach space, there are some available definitions in the literature of algebraic multiplicity of the family £ at a point x0 of the parameter at which the operator £(x0) becomes non-invertible. The purpose of this paper is to suggest an axiomatic for the multiplicity and to prove that the algebraic multiplicity is uniquely determined by a few of its properties, independently of its construction. |
| spellingShingle | Mora-Corral, C Uniqueness of the algebraic multiplicity |
| title | Uniqueness of the algebraic multiplicity |
| title_full | Uniqueness of the algebraic multiplicity |
| title_fullStr | Uniqueness of the algebraic multiplicity |
| title_full_unstemmed | Uniqueness of the algebraic multiplicity |
| title_short | Uniqueness of the algebraic multiplicity |
| title_sort | uniqueness of the algebraic multiplicity |
| work_keys_str_mv | AT moracorralc uniquenessofthealgebraicmultiplicity |