Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/8521
Title: | On Locally m-convex Function Algebras |
Authors: | Rosa, Domenico |
Advisor: | Husain, T. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | May-1974 |
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> |
URI: | http://hdl.handle.net/11375/8521 |
Identifier: | opendissertations/3720 4737 1704939 |
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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