On Locally m-convex Function Algebras

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DC Field	Value	Language
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

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