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]

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.

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)

Distinguished Professor Emeritus, University of South Carolina (2021 – present)
Professor, University of South Carolina (1990 – 2020)
Mathematics Department 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)

(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