Convergence of positive operators

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2z10wv38p

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Attribute Name	Values
Creator	James, Ralph Leland
Abstract	The extension and convergence of positive operators is investigated by means of a monotone approximation technique. Some generalizations and extensions of Korovkin's monotone operator theorem on C[0, 1] are given. The concept of a regular set is introduced and it is shown that pointwise convergence is uniform on regular sets. Regular sets are investigated in various spaces and some characterizations are obtained. These concepts are applied to the approximate solution of a large class of integral equations.
Resource Type	Dissertation
Date Available	2010-07-27T16:02:07+00:00
Date Issued	1970-04-03
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1970
Advisor	Anselone, P. M.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Algebras, Linear Integral equations
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/17120

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