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http://hdl.handle.net/11375/8569
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DC Field | Value | Language |
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dc.contributor.advisor | Husain, T. | en_US |
dc.contributor.author | Chu, Quang Lo | en_US |
dc.date.accessioned | 2014-06-18T16:43:17Z | - |
dc.date.available | 2014-06-18T16:43:17Z | - |
dc.date.created | 2010-12-24 | en_US |
dc.date.issued | 1977 | en_US |
dc.identifier.other | opendissertations/3764 | en_US |
dc.identifier.other | 4781 | en_US |
dc.identifier.other | 1710810 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/8569 | - |
dc.description.abstract | <p>It is a well-known result of I.C. Gohberg, M.G. Krein and T. Kato that if T is a semi-Fredholm operator between Banach spaces and P a bounded operator of norm small enough, or a compact operator, then T+P is a semi-Fredholm operator with the same index as T.</p> <p>This thesis is concerned with extensions of this result to more general locally made of suitably defined small bounded or precompact perturbations or Φ₊ and Φ₋ -operators. The results obtained apply in particular to Frechet spaces and effectively extend the theorems of I.C. Gohberg, M.G. Krein and T. Kata as well as several or Ju.M. Vladimirski.</p> <p>Duality is shown to be a convenient tool to prove many or these results. Some applications are also given.</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | Perturbations of semi-Fredholm operators in locally convex topological vector spaces | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 4.76 MB | Adobe PDF | View/Open |
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