Anton R. Schep

Title:	Distinguished Professor Emeritus
Department:	Mathematics College of Arts and Sciences
Email:	schep@math.sc.edu
Office:	LeConte 414
Resources:	My Website Curriculum Vitae [pdf] Department of Mathematics

Education

PhD: University of Leiden, The Netherlands, 1977

BSc: University of Leiden, The Netherlands, 1974

Experience

Distinguished Professor Emeritus, 2021-present

Professor, University of South Carolina, 1990-2020

Chair, University of South Carolina, 2012-2018

Assistant Chair, University of South Carolina, 2005-2012

Graduate Director, University of South Carolina, 1989-1994, 1995-2004

MAT Director, University of South Carolina, 1995 –2004

Associate Professor, University of South Carolina, 1984-1990

Assistant Professor, University of South Carolina, 1981-1984

Research instructor, California Institute of Technology, 1977-1981

Fellowships and Honors

Visiting Research Fellow, Flinders University, Bedford Park, South Australia, June 1984.

Visiting Research fellow, Flinders University, Bedford Park, South Australia, June- August 1987.

Alexander von Humboldt Research Fellow, University of Tübingen, Federal Republic of Germany, October 1987 - May 1988.

Visiting Professor, Delft University of Technology, Delft, The Netherlands, September - November 1994.

Member Royal Dutch Academy of Sciences, 1995–present

Courses Taught

Math 122
Math 141
Math 142
Math 241
Math 242
Math 300
Math 511
Math 520
Math 526
Math 544
Math 546
Math 550
Math 552
Math 554
Math 555
Math 703
Math 704
Math 754
Math 756
Math 757

Research

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.

Selected Publications

(with W.A.J. Luxemburg), An extension theorem for Riesz homomorphisms, Proc. of theKon. Akad. v. Wet. series A 82 (1979), 145–154.
On factorization of positive multilinear operators, Illinois J. of Math. 28 (1984), 579–591.
(with B. de Pagter), Measures of non-compactness of operators in Banach lattices, Jour. of Functional Analysis 78 (1988), 31–55.
Products and factors of Banach function spaces, Positivity 14 (2010), 301-319.
Unbounded disjointness preserving linear functionals and operators, Archiv der Mathematik 107 (2016), 623–633.

Department of Mathematics

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