Topological vector spaces and their invariant measures Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/qf85nd19m

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  • First, topological vector spaces are examined from a partial order structure derived from neighborhood bases of the origin. This structure is used to produce a minimal vector norm for every Hausdorff locally convex space. Then, topological vector spaces are examined to find translation invariant measures with respect to which functions in the topological dual are integrable. It is shown that every conical measure on a locally convex space E has a unique translationally invariant extension to all of a(E), the Riesz space generated by the real valued continuous affine functions on E. Invariant measures are constructed, characterized, and extended. An integral representation on certain complete weak spaces is found.
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  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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  • description.provenance : Made available in DSpace on 2010-08-12T16:46:55Z (GMT). No. of bitstreams: 1 MargolisWilliamEdward1971.pdf: 427365 bytes, checksum: 5a6c39b3b4879667cfb82b321025e673 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-08-12T16:44:51Z (GMT) No. of bitstreams: 1 MargolisWilliamEdward1971.pdf: 427365 bytes, checksum: 5a6c39b3b4879667cfb82b321025e673 (MD5)
  • description.provenance : Submitted by Nitin Mohan (mohanni@onid.orst.edu) on 2010-08-11T21:43:29Z No. of bitstreams: 1 MargolisWilliamEdward1971.pdf: 427365 bytes, checksum: 5a6c39b3b4879667cfb82b321025e673 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-08-12T16:46:55Z (GMT) No. of bitstreams: 1 MargolisWilliamEdward1971.pdf: 427365 bytes, checksum: 5a6c39b3b4879667cfb82b321025e673 (MD5)

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