Title page for ETD etd-10132005-152531


Type of Document Dissertation
Author Huang, Jiann-Shiuh
URN etd-10132005-152531
Title One-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetry
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Olin, Robert F. Committee Chair
Arnold, J. A. Committee Member
Haskell, Peter E. Committee Member
McCoy, Robert A. Committee Member
Rossi, John F. Committee Member
Keywords
  • Maximal subgroups
Date of Defense 1991-06-14
Availability restricted
Abstract

Let X be a compact Hausdorff space and A a uniform algebra on X. Let if be an isometric unital representation that maps A 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 A and that of maximal projections of antisymmetry for π( A) under the extension of π if π satisfies a certain regularity property.

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