Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property
A variant of the Bourgin-Yang theorem for a-compact perturbations of a closed linear operator (in general, unbounded and having an infinite-dimensional kernel) is proved. An application to integrodifferential equations is discussed.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/78928 |
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| _version_ | 1849307395271950336 |
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| author | Sergey A. Antonyan Zalman I. Balanov Boris D. Gel'man |
| author_facet | Sergey A. Antonyan Zalman I. Balanov Boris D. Gel'man |
| author_sort | Sergey A. Antonyan |
| collection | DOAJ |
| description | A variant of the Bourgin-Yang theorem for a-compact perturbations of a closed linear operator (in general,
unbounded and having an infinite-dimensional kernel) is proved.
An application to integrodifferential equations is discussed. |
| format | Article |
| id | doaj-art-295f019d35524ef0b770b5487e220023 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-295f019d35524ef0b770b5487e2200232025-08-20T03:54:47ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/7892878928Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension propertySergey A. Antonyan0Zalman I. Balanov1Boris D. Gel'man2Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, México DF 04510, MexicoDepartment of Mathematics and Computer Science, Netanya Academic College, Netanya 42365, IsraelFaculty of Mathematics, Voronezh State University, 1 Universitetskaya Pl., Voronezh 394006, RussiaA variant of the Bourgin-Yang theorem for a-compact perturbations of a closed linear operator (in general, unbounded and having an infinite-dimensional kernel) is proved. An application to integrodifferential equations is discussed.http://dx.doi.org/10.1155/AAA/2006/78928 |
| spellingShingle | Sergey A. Antonyan Zalman I. Balanov Boris D. Gel'man Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property Abstract and Applied Analysis |
| title | Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property |
| title_full | Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property |
| title_fullStr | Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property |
| title_full_unstemmed | Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property |
| title_short | Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property |
| title_sort | bourgin yang type theorem for a compact perturbations of closed operators part i the case of index theories with dimension property |
| url | http://dx.doi.org/10.1155/AAA/2006/78928 |
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