James J. Dudziak, Ph.D.

James  J. Dudziak
  • Associate Professor
  • Mathematics
  • Holmes Hall, W-28
  • 919 E. Shaw Lane
  • East Lansing, MI 48825
  • (517) 353-4599

LBC COURSES

  • LB 118
  • LB 119
  • LB 220
  • LB 492

BIOGRAPHY

Dr James Dudziak has published a number of papers in operator and function theory as well as one book, Vitushkin's Conjecture for Removable Sets.

EDUCATION

  • Ph.D., Mathematics, Indiana University at Bloomington
  • B.S., Mathematics, California Institute of Technology

RESEARCH

At work on a book that will be given the stuffily academic but descriptively accurate title of Pejas's Classification of Hilbert Planes. It could facetiously be entitled Elementary Geometry Made Difficult.

SELECTED PUBLICATIONS

  • Hankel Operators on Bounded Analytic Functions (with Theodore Gamelin and Pamela Gorkin) in the Transactions of the American Mathematical Society, Vol. 352, No. 1, January 2000, pp 363-377.
  • Pointwise Bounded Limits of Rational Functions on the String of Beads (with John Conway and Mark Melnikov) in The Proceedings Of The Royal Irish Academy, Vol. 95A, No. 1, 1995, pp 29-38. 
  • Von Neumann Operators are Reflexive (with John Conway) in the Journal für die reine und angewandte Mathematik, Vol. 408, 1990, pp 34-56. 
  • A Weak-Star Rational Approximation Problem Connected with Subnormal Operators in the Proceedings of the American Mathematical Society, Vol. 107, No. 3, November 1989, pp 679-686. 
  • Isometrically Removable Sets for Functions in the Hardy Space are Polar (with John Conway and Emil Straube) in the Michigan Mathematics Journal, Vol. 34, No. 2, 1987, pp 267-273. 
  • The Minimal Normal Extension Problem for Subnormal Operators in the Journal of Functional Analysis, Vol. 65, No. 3, February 1986, pp 314-338.
  • A Note on a Theorem of Ahern and Sarason in the Proceedings of the American Mathematical Society, Vol. 98, No. 1, September 1986, pp 38-40. 
  • Spectral Mapping Theorems for Subnormal Operators in the Journal of Functional Analysis, Vol. 56, No. 3, May 1983, pp 360-387.