Compact and weakly compact Derivations on l^1(Z_+)
| dc.contributor.advisor | Choi, Yemon | en_US |
| dc.contributor.advisor | Samei, Ebrahim | en_US |
| dc.contributor.committeeMember | Abou Salem, Walid | en_US |
| dc.contributor.committeeMember | Bickis, Mik | en_US |
| dc.contributor.committeeMember | Tanaka, Kaori | en_US |
| dc.creator | Moradi, Laleh | en_US |
| dc.date.accessioned | 2014-01-21T19:01:39Z | |
| dc.date.available | 2014-01-21T19:01:39Z | |
| dc.date.created | 2013-12 | en_US |
| dc.date.issued | 2013-12-24 | en_US |
| dc.date.submitted | December 2013 | en_US |
| dc.description.abstract | In this thesis, we aim to study derivations from l^1(Z+) to its dual, l^\infty(Z+). We first characterize them as certain closed subspace of l^1(Z+). Then we present a necessary and sufficient condition, due to M. J. Heath, to make a bounded derivation on l^1(Z+) into l^\infty(Z+), a compact linear operator. After that base on the work in [6], we study weakly compact derivations from l^1(Z+) to its dual. We introduce T-sets and TF-sets and then state their relation with weakly compact operators on l^1(Z+). These results are originally due to Y. Choi and M. J. Heath, but we give simpler proofs. Finally, we will study certain classes of derivations from L^1(R+) to L^\infty(R+), and give an elementary proof that they are always mapped into C0(R+). | en_US |
| dc.identifier.uri | http://hdl.handle.net/10388/ETD-2013-12-1339 | en_US |
| dc.language.iso | eng | en_US |
| dc.subject | Banach algebra, Module action, Compact and Weakly compact Derivations, T-set, TF-set. | en_US |
| dc.title | Compact and weakly compact Derivations on l^1(Z_+) | en_US |
| dc.type.genre | Thesis | en_US |
| dc.type.material | text | en_US |
| thesis.degree.department | Mathematics and Statistics | en_US |
| thesis.degree.discipline | Mathematics | en_US |
| thesis.degree.grantor | University of Saskatchewan | en_US |
| thesis.degree.level | Masters | en_US |
| thesis.degree.name | Master of Science (M.Sc.) | en_US |