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Anton R. Schep's Home Page

On this page you can find links to course information and selected re- and preprints. To find information about our department, go to the Departmental homepage. For my professional background, see my curriculum vitae .

Research Interests

I am generally interested in the areas of Functional Analysis and Operator Theory. In particular my published research includes papers on:

the study of linear integral operators on Banach function spaces.
positive operators and C₀-semigroups of positive operators on Banach lattices.
spectral properties, and compactness properties of special classes of operators, such as disjointness preserving operators.

Publications

I use the PDF format for my more technical documents. Click

to obtain a free copy of Acrobat Reader to view PDF files.

My Complete List of Publications (PDF file).

Click here to get a listing of my papers from the AMS MathSciNet with links to Mathematical Reviews. (Note: You or your institution must have a valid MathSciNet subscription.)

Selected Reprints and Preprints (PDF Files)

The measure of non-compactness of a disjointness preserving operator
A slightly revised version appeared in: J. Operator Theory, 21(1989), 397-402.
And Still One More Proof of the Radon-Nikodym Theorem
Appeared in the Mathematical Monthly (2003). Here is an updated and improved version.
Norms of positive operators on Lp-spaces
(with Ralph E. Howard), A revision appeared in: Proceedings of the American Mathematical Society,109 (1990), 135-146.
Lozanovskii's proof of Dunford's theorem
A rather loose translation of G. Ya. Lozanovskii's paper: N. Dunford's theorem, Izv. Vyss Ucebn. Zaved. Matem., 8(1974), 58-59 (in Russian).
Products of Cesaro convergent sequences with applications to convex solid sets and integral operators To appear Proc. of the AMS.
Products and Factors of Banach Function spaces Submitted.

Course materials

Fall 1998 Math 554/703I Syllabus
Spring 1999 Math 555/704I Syllabus
Fall 1999 Math 122 Syllabus
Fall 2000 Math 544
Spring 2001 Math 552/752I
Fall 2001 Math 703
Spring 2002 Math 704
Fall 2002 Math 544
Spring 2003 Math 544
Fall 2003 Math 554/Math 703I
Spring 2004 Math 555
Fall 2004 Math 300
Spring 2005 Math 554
Fall 2005 Math 703
Spring 2006 Math 704
Fall 2006 Math 554/Math 703I
Spring 2007 Math 555/704I
Fall 2007 Math 550
Spring 2008 Math 546
Fall 2008 Math 703

Selected Notes (PDF Files)

Notes on Lebesgue's characterization of Riemann integrable functions
Weierstrass' original proof of the Weierstrass Approximation theorem.
A simple complex analysis and advanced calculus proof of the Fundamental Theorem of Algebra. The following version will appear in The Mathematical Monthly.
Notes on the Riemann integral.
Notes on Complex analysis.
A short proof of the Inverse Function Theorem.

How to reach me

Email:: schep AT math.sc.edu
Snail Mail:: Anton R. Schep
Department of Mathematics
University of South Carolina
Columbia, SC 29208
USA
Telephone:: (803) 777-6190
Fax:: (803) 777-3783
Office: LeConte 300C

Page Last Updated: July, 2008