For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We denote space all operator ideals by O.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc4349 |
| Date | 08 1900 |
| Creators | Bahreini Esfahani, Manijeh |
| Contributors | Bator, Elizabeth M., Lewis, Paul, Iaia, Joseph |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Copyright, Bahreini Esfahani, Manijeh, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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