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http://hdl.handle.net/11375/8521
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DC Field | Value | Language |
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dc.contributor.advisor | Husain, T. | en_US |
dc.contributor.author | Rosa, Domenico | en_US |
dc.date.accessioned | 2014-06-18T16:43:09Z | - |
dc.date.available | 2014-06-18T16:43:09Z | - |
dc.date.created | 2010-12-21 | en_US |
dc.date.issued | 1974-05 | en_US |
dc.identifier.other | opendissertations/3720 | en_US |
dc.identifier.other | 4737 | en_US |
dc.identifier.other | 1704939 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/8521 | - |
dc.description.abstract | <p>In this thesis an analogue of B-completeness is defined for locally m-convex algebras. Namely, a commutative locally m-convex algebra A is said to be a B(£) algebra if every continuous and almost open homomorphism from A onto any locally m-Convex algebra is open. A characterization is obtained of those completely regular spaces X for which C(X) with the compact-open topology is a B(£) algebra. Permanence properties of B(£) algebras are investigated, and extensions of the closed graph theorem are obtained. In addition, a categorical treatment of commutative locally m-convex algebras and their relationship with completely regular spaces is given.</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | On Locally m-convex Function Algebras | 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 | 4.33 MB | Adobe PDF | View/Open |
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