Title page for ETD etd-06022010-020328

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
  • Group theory
Date of Defense 1968-05-05
Availability restricted

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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