**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. | Mathematics | The Ohio State University | 1982 |

Field of specialization: Banach space theory, functional analysis
Adviser: William B. Johnson | |||

B.S. | Mathematics | University of Toledo | 1974 |

**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**

- N. L. Carothers,
A
Short Course in Banach Space Theory,
Cambridge University Press, 2005.
- N. L. Carothers,
Real Analysis,
Cambridge University Press, 2000.
- 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. - 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.
- N. L. Carothers, R. Haydon, and P. K. Lin,
"Isometries of Lorentz function spaces,"
Israel Journal of Mathematics,
**84**(1993), 265 - 287. - 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. - 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. - 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. - D. E. Alspach and N. L. Carothers,
"Constructing unconditional finite dimensional decompositions,"
Israel Journal of Mathematics,
**70**(1990), 236 - 256. - N. L. Carothers and S. J. Dilworth,
"Equidistributed random variables in
,"
Journal of Functional Analysis,
**84**(1989), 146 - 159. - N. L. Carothers and S. J. Dilworth,
"Subspaces of ,"
Proceedings of the American Mathematical Society,
**104**(1988), 537 - 545. - N. L. Carothers and S. J. Dilworth,
"Inequalities for sums of independent random variables,"
Proceedings of the American Mathematical Society,
**104**(1988), 221 - 226. - N. L. Carothers,
"Rearrangement invariant subspaces of Lorentz function spaces, II,"
Rocky Mountain Journal of Mathematics,
**17**(1987), 607 - 616. - N. L. Carothers and J. B. Turett,
"Isometries on ,"
Transactions of the American Mathematical Society,
**297**(1986), 95 - 103. - 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. - N. L. Carothers and P. H. Flinn,
"Embedding
in ,"
Proceedings of the American Mathematical Society,
**88**(1983), 523 - 526. - N. L. Carothers,
"Rearrangement invariant subspaces of Lorentz function spaces,"
Israel Journal of Mathematics,
**40**(1981), 217 - 228.

Neal L. Carothers