Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/20048
Title: | The Measure Algebra of a Locally Compact Group |
Authors: | Rigelhof, Roger Philip |
Advisor: | Husain, T. |
Department: | Mathematics |
Keywords: | measure, algebra, locally compact, group |
Publication Date: | May-1967 |
Abstract: | <p> Let G be a locally compact group (= locally compact Hausdorff topological group). By the measure algebra of G we mean the Banach *-algebra M(G) of bounded regular Borel measures on G. The major results of this work are a structure theorem for norm decreasing isomorphisms of measure algebras, and a characterization of those Banach algebras which are isometric and isomorphic to the measure algebra of some locally compact group. We also obtain some results on subalgebras of M(G) and on representations of G.</p> |
URI: | http://hdl.handle.net/11375/20048 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Rigelhof_Roger_P._1967May_Ph.D..pdf | 4.14 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.