Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/8569
Title: | Perturbations of semi-Fredholm operators in locally convex topological vector spaces |
Authors: | Chu, Quang Lo |
Advisor: | Husain, T. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | 1977 |
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> |
URI: | http://hdl.handle.net/11375/8569 |
Identifier: | opendissertations/3764 4781 1710810 |
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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