# Department of **Mathematics**

## Directory

## 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] |

### 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.

### Education

- Ph.D. in Mathematics,
*University of Leiden*,*The Netherlands*(1977) - B.Sc. in Mathematics,
*University of Leiden, The Netherlands*(1974)

### Honors and Awards

- 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)

### Experience

- 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)

### Courses Taught

- MATH 122: Calculus for Business Administration and Social Sciences
- MATH 141: Calculus I
- MATH 142: Calculus II
- MATH 141: Calculus I
- MATH 142: Calculus II
- MATH 300: Transition to Advanced Mathematics
- MATH 511: Probability
- MATH 520: Ordinary Differential Equations
- MATH 526: Numerical Linear Algebra
- MATH 526: Numerical Linear Algebra
- MATH 546: Algebraic Structures I
- MATH 526: Numerical Linear Algebra
- MATH 552: Applied Complex Variables
- MATH 554: Analysis I
- MATH 555: Analysis II
- MATH 703: Graduate Analysis I
- MATH 704: Graduate Analysis II
- MATH 756: Functional Analysis I
- MATH 757: Functional Analysis II
- MATH 754

### 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.