Research Interests
My research interests are principally in Operator Theory and Functional
Analysis.
I currently organise the
York Analysis, Geometry and Number Theory Seminar.
Publications
- Theory and Applications of Hilbert's Projective Metric to Linear and
Nonlinear Problems in Positive Operator Theory
D. Phil. thesis, University of Sussex (1991)
- An Integral Equation Arising From a Problem in Mathematical Biology
Bull. London Math. Soc 23 (1991) 293-299
- Hilbert's Projective Metric and the Spectral Properties of Positive
Linear Operators Proc. London Math. Soc. (3) 70 (1995) 411-440
- (with Roger D. Nussbaum)
An Elementary Proof of the Birkhoff-Hopf Theorem
Math. Proc. Camb. Phil. Soc. (1995) 117, 31-55
- (with Roger D. Nussbaum)
Applications of the Birkhoff-Hopf Theorem to the Spectral Theory of
Positive Linear Operators Math. Proc. Camb. Phil. Soc. (1995)
117, 491-512
- Compactness Criteria for Integral Operators in $L^\infty$ and $L^1$
spaces Proc. Amer. Math. Soc. vol. 123 no. 12 December 1995 3709-3716
- The Eigenvalue Distribution of Oscillatory and Strictly Sign-Regular
Matrices Linear Algebra and its Applications 246:17-21 (1996)
- Eigenvalues of Totally Positive Integral Operators Bull. London
Math. Soc. 29 (1997) 216-222
- (with C. J. Fewster)
Bounds on negative energy densities in flat spacetime
Phys. Rev. D58 (1998) 084010
gr-qc/9805024
- (with Bernard S. Kay)
Peripheral Spectra of Order-Preserving Normal Operators
Bull. London Math. Soc 31 (1999) 574-576
- Compactness Criteria and Measures of Noncompacness in Function
Spaces Journal London Math. Soc. (2) 62 (2000) 263-277
- Norms of Iterates of Volterra Operators on $L^2(0,1)$,
Journal of Operator Theory 50(2) (2003) 369-386.
- Norms of Iterates of Volterra Operators on $L^p(0,1)$ to appear,
Integral Equations and operator Theory
- (with Christopher J. Fewster
and Rainer Verch) Quantum inequalities in quantum mechanics,
submitted math-ph/0312046
Simon Eveson
Department of Mathematics
University of York
Heslington
York
YO10 5DD
United Kingdom
email: spe1@york.ac.uk
FAX: +44 1904 433071
Last Modified: Monday, 15-Mar-2004 14:05:54 GMT