{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/39824"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/39824","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"One-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetry","abstract":"Let <b>X</b> be a compact Hausdorff space and <b>A</b> a uniform algebra on <b>X</b>. Let if be an isometric unital representation that maps <b>A</b> into bounded linear operators on a Hilbert space. This research investigated that there is a one-to-one correspondence between the collection of maximal sets of antisymmetry for <b>A</b> and that of maximal projections of antisymmetry for π (<b>A</b>) under the extension of π if π satisfies a certain regularity property.","abstract_html":"Let &lt;b&gt;X&lt;/b&gt; be a compact Hausdorff space and &lt;b&gt;A&lt;/b&gt; a uniform algebra on &lt;b&gt;X&lt;/b&gt;. Let if be an isometric unital representation that maps &lt;b&gt;A&lt;/b&gt; into bounded linear operators on a Hilbert space. This research investigated that there is a one-to-one correspondence between the collection of maximal sets of antisymmetry for &lt;b&gt;A&lt;/b&gt; and that of maximal projections of antisymmetry for π (&lt;b&gt;A&lt;/b&gt;) under the extension of π if π satisfies a certain regularity property.","abstract_has_math":false,"creators":["Huang, Jiann-Shiuh"],"institution":"Virginia Tech","degree_name":"Ph. 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A.","Rossi, John F.","Haskell, Peter E."],"year":1991,"date_issued":"1991-06-14","date_published":"1991-06-14","updated_at":"2026-07-22T22:19:45Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-10132005-152531"],"render_values":[{"text":"etd-10132005-152531","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/39824","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Olin, Robert F."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["McCoy, Robert A.","Arnold, J. 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