Factorization in C*-algebras: Products of positive operators.

dc.contributor.author	Quinn, Terrance.	en_US
dc.contributor.degree	Ph.D.	en_US
dc.date.accessioned	2014-10-21T12:37:33Z
dc.date.available	1992
dc.date.issued	1992	en_US
dc.description	The main question of the thesis is the following: given a C-algebra ${\cal A}$ which elements of ${\cal A}$ can be factored as, or approximated by, finite products of positive operators, with each factor also from ${\cal A}$? We begin by extending Ballantine's theorem for matrices to the class of n-normal operators. This introduces measure theory, while in another direction we obtain approximation theorems for AF-algebras. Combining AF-algebras with n-normal operators we obtain Approximately Poly-Normal Algebras (APN) and give a characterization of those APN-algebras for which the set of products of four positive operators is dense. We conclude with partial results on the "direct integral" and the "compact direct integral", two algebras which arise in a natural way from a "measurable field of C-algebras".	en_US
dc.description	Thesis (Ph.D.)--Dalhousie University (Canada), 1992.	en_US
dc.identifier.other	AAINN80129	en_US
dc.identifier.uri	http://hdl.handle.net/10222/55323
dc.language	eng	en_US
dc.publisher	Dalhousie University	en_US
dc.publisher		en_US
dc.subject	Mathematics.	en_US
dc.title	Factorization in C*-algebras: Products of positive operators.	en_US
dc.type	text	en_US

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