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Virginia Tech

One-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetry

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Mathematics
Department dc:contributor.department
Mathematics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1991

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Huang, Jiann-Shiuh
Chair dc:contributor.committeechair
  • Olin, Robert F.
Committee members dc:contributor.committeemember
  • McCoy, Robert A.
  • Arnold, J. A.
  • Rossi, John F.
  • Haskell, Peter E.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-10132005-152531
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/39824

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Huang, Jiann-Shiuh. One-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetry. doctoral thesis, Virginia Tech, 1991. http://hdl.handle.net/10919/39824