Go to  Advanced Search

Please note that cIRcle is currently being upgraded to DSpace v5.1. The upgrade means that the cIRcle service will *not* be accepting new submissions from 5:00 PM on September 1, 2015 until 5:00 PM on September 4, 2015. All cIRcle material will still be accessible during this period. Apologies for any inconvenience. [CYPRESS]

Abelian von Neumann algebras

Show simple item record

dc.contributor.author Kerr, Charles R.
dc.date.accessioned 2011-08-30T16:28:56Z
dc.date.available 2011-08-30T16:28:56Z
dc.date.copyright 1966
dc.date.issued 2011-08-30
dc.identifier.uri http://hdl.handle.net/2429/36976
dc.description.abstract This thesis carries out some of classical integration theory in the context of an operator algebra. The starting point is measure on the projections of an abelian von Neumann algebra. This yields an integral on the self-adjoint operators whose spectral projections lie in the algebra. For this integral a Radon-Nikodym theorem, as well as the usual convergence theorems is proved. The methods and results of this thesis generalize, to non-commutative von Neumann Algebras [2, 3, 5]. (1) J. Dixmier Les Algèbres d'Opérateurs dans l'Espace Hilbertien. Paris, 1957. (2) H.A. Dye The Radon-Nikodym theorem for finite rings of operators, Trans. Amer. Math. Soc, 72, 1952, 243-230. (3) F.J. Murray and J. von Neumann, On Rings of Operators, Ann. Math. 37, 1936, 116-229. (4) F. RIesz and B. v. Sz.-Nagy, Functional Analysis, New York, 1955. (5) I.E. Segal A non-commutative extension of abstract integration, Ann. of Math. (2) 57, 1953, 401-457. en
dc.language.iso eng en
dc.publisher University of British Columbia en
dc.relation.ispartof Retrospective Theses and Dissertations, 1919-2007 en
dc.relation.ispartofseries UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/] en
dc.subject Rings (Algebra) en
dc.subject Abelian groups en
dc.title Abelian von Neumann algebras en
dc.type Text en
dc.degree.name Master of Arts - MA en
dc.degree.discipline Mathematics en
dc.degree.grantor University of British Columbia en
dc.type.text Thesis/Dissertation en
dc.description.affiliation Science, Faculty of en
dc.degree.campus UBCV en
dc.description.scholarlevel Graduate en


Files in this item

Files Size Format Description   View
UBC_1966_A8 K47.pdf 4.233Mb Adobe Portable Document Format   View/Open
 

This item appears in the following Collection(s)

Show simple item record

UBC Library
1961 East Mall
Vancouver, B.C.
Canada V6T 1Z1
Tel: 604-822-6375
Fax: 604-822-3893