Type of Document Dissertation Author Garren, Kenneth Ross URN etd-06022010-020328 Title Unitary equivalence of spectral measures on a Baer -semigroup. Degree PhD Department Mathematics Advisory Committee
Advisor Name Title Bevis, Jean H. Committee Chair DePree, John D. Committee Member Johnson, Harry Lee Committee Member Rutland, Leon W. Committee Member Keywords
- Group theory
Date of Defense 1968-05-05 Availability restricted Abstract
This paper is concerned with a generalization of the concept of unitary equivalence of spectral measures on a Baer *-semigroup. A connection is made between abstract spectral measures, and three other distinct mathematical systems.
Chapter II is devoted specifically to generalizing the concept of a spectral measure and to determining necessary and sufficient conditions for which two spectral measures will be unitarily equivalent.
Chapter III discusses the problem of each (C(M) , qμ) being type I in terms of cycles, the basic elements of C(M).
In Chapter IV it is shown that in a Loomis *-semigroup each type I (C(M) , qμ) will be type I homogeneous.
Chapter V relates the study of unitary equivalence of spectral measures and the unitary equivalence of normal elements in a Finite Dimensional Baer *-algebra.
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