Curriculum Vita


Neal L. Carothers
Professor Emeritus
Department of Mathematics & Statistics
Bowling Green State University
Bowling Green, OH 43403-0221
Email: ncarothers@woh.rr.com
WWW: http://personal.bgsu.edu/~carother/

Academic Degrees

Ph.D.MathematicsThe Ohio State University1982
Field of specialization: Banach space theory, functional analysis
Adviser: William B. Johnson
B.S.MathematicsUniversity of Toledo1974

Academic Positions

Professor Bowling Green State University 1996 - 2012
Associate Professor Bowling Green State University 1990 - 1996
Assistant Professor Bowling Green State University 1987 - 1990
Visiting Asst Professor Texas A&M University 1986 - 1987
Lecturer University of Texas-Austin 1985 - 1986
Visiting Asst Professor Oklahoma State University 1984 - 1985
Assistant Professor Wayne State University (on leave 1984 - 1986) 1982 - 1986

Publications

  1. N. L. Carothers, A Short Course in Banach Space Theory, Cambridge University Press, 2005.

  2. N. L. Carothers, Real Analysis, Cambridge University Press, 2000.

  3. N. L. Carothers, S. J. Dilworth, and D. Sobecki, "Splittings of Banach spaces induced by Clifford algebras," Proceedings of the American Mathematical Society, 128 (1999), 1347 - 1356.

  4. N. L. Carothers, S. J. Dilworth and C. J. Lennard, "On a localization of the UKK property and the fixed point property in ," in Proceedings of the International Conference on the Interaction between Functional Analysis, Harmonic Analysis and Probability Theory, N. Kalton, E. Saab, S. Montgomery-Smith, eds., Marcel Dekker, 1995.

  5. N. L. Carothers, R. Haydon, and P. K. Lin, "Isometries of Lorentz function spaces," Israel Journal of Mathematics, 84 (1993), 265 - 287.

  6. N. L. Carothers, S. J. Dilworth and D. A. Trautman, "On the geometry of the unit sphere of the Lorentz spaces ," Glasgow Mathematics Journal, 34 (1992), 21 - 25.

  7. N. L. Carothers, S. J. Dilworth, C. J. Lennard, and D. A. Trautman, "A fixed point property for the Lorentz space ," Indiana University Mathematics Journal, 40 (1991), 345 - 352.

  8. N. L. Carothers and S. J. Dilworth, "Some Banach space embeddings of classical function spaces," Bulletin of the Australian Mathematical Society, 43 (1991), 73 - 77.

  9. D. E. Alspach and N. L. Carothers, "Constructing unconditional finite dimensional decompositions," Israel Journal of Mathematics, 70 (1990), 236 - 256.

  10. N. L. Carothers and S. J. Dilworth, "Equidistributed random variables in ," Journal of Functional Analysis, 84 (1989), 146 - 159.

  11. N. L. Carothers and S. J. Dilworth, "Subspaces of ," Proceedings of the American Mathematical Society, 104 (1988), 537 - 545.

  12. N. L. Carothers and S. J. Dilworth, "Inequalities for sums of independent random variables," Proceedings of the American Mathematical Society, 104 (1988), 221 - 226.

  13. N. L. Carothers, "Rearrangement invariant subspaces of Lorentz function spaces, II," Rocky Mountain Journal of Mathematics, 17 (1987), 607 - 616.

  14. N. L. Carothers and J. B. Turett, "Isometries on ," Transactions of the American Mathematical Society, 297 (1986), 95 - 103.

  15. N. L. Carothers and S. J. Dilworth, "Geometry of Lorentz spaces via interpolation," Longhorn Notes, The University of Texas Functional Analysis Seminar, 1985 - 86, 107 - 134.

  16. N. L. Carothers and P. H. Flinn, "Embedding in ," Proceedings of the American Mathematical Society, 88 (1983), 523 - 526.

  17. N. L. Carothers, "Rearrangement invariant subspaces of Lorentz function spaces," Israel Journal of Mathematics, 40 (1981), 217 - 228.


Neal L. Carothers