Welcome to A. Bourhim's web page



Contact information
  • Mailing address: Syracuse University, Department of Mathematics, 215 Carnegie Building, Syracuse, NY13244, USA
  • Email: abourhim@syr.edu
  • Telephone: +1-315 443-3312
  • Fax: +1-315 443 1475
Educational background
  • Ph.D in Pure Mathematics, 2001, University Mohamed V, Rabat, Morocco.
  • Diploma Course in Mathematics, 2000, Abdus Salam ICTP, Trieste, Italy.
  • M.Sc (C.E.A), in Pure Mathematics, 1997, University Mohamed V, Rabat, Morocco.
  • B.Sc (Licence), in Pure Mathematics, 1996, University Mohamed V, Rabat, Morocco.
Research interests
 
My research interests span several areas of Mathematics and Statistics, including:
        •       Linear Algebra
        •       Banach algebra
        •       Functional Analysis
        •       Local Spectral Theory
        •       Function Theory
        •       Statistics and Probability





Professional background
Publications
  1. A. Bourhim, Additive maps preserving the reduced minimum modulus of Banach space operators, Journal of Operator Theory, (To appear).
  2. A. Bourhim, M. Burgos and V.S. Shulman, Linear maps preserving the minimum and reduced minimum moduli, J. Functional Analysis, 258 (2010) 50-66.
  3. A. Bourhim and M. Burgos, Linear maps preserving the minimum modulus, Operators and Matrices, 4, no, 2, (2010) 245-256.
  4. A. Bourhim, Surjective linear maps preserving local spectra, Linear Algebra and its Applications, 432 (2010) 383-393.
  5. A. Bourhim and M. Burgos, Linear maps preserving regularity in C*-algebras, Illinois Journal of Mathematics, 53 (2009) 899-914.
  6. M. Bendaoud, A. Bourhim, M. Burgos and M. Sarih, Linear maps preserving Fredholm and Atkinson elements of C*-algebras, Linear and Multilinear Alg., 57 (2009) 823-838.
  7. M. Bendaoud and A. Bourhim, Essentially spectrally bounded linear maps, Proc. Amer. Math. Soc. 137(2009), 3329-3334.
  8. A. Bourhim and V. G. Miller, Linear maps on $M_n(\Bbb{C})$ preserving the local spectral radius, Studia Math., 188 (2008), no. 1, 67-75.
  9. A. Bourhim, Spectral pictures of operator-valued weighted bi-shifts, Journal of Operator Theory, 59 (2008), no. 1, 193-210.
  10. M. Bendaoud, A. Bourhim and M. Sarih, Linear maps preserving the essential spectral radius, Linear Algebra and its Applications, 428 (2008) 1041-1045.
  11. A. Bourhim and V. G. Miller, The single-valued extension property is not preserved under sums and products of commuting operators, Glasgow Mathematical Journal, 49(2007) 99-104.
  12. A. Bourhim and T. Ransford, Additive maps preserving local spectrum, Integral Equations and Operator Theory, 55(2006), no. 3, 377-385.
  13. A. Bourhim, Spectrum of bilateral shifts with operator-valued weights, Proc. Amer. Math. Soc., 134(2006), no. 7, 2131-2137.
  14. A. Bourhim and C. E. Chidume, The single-valued extension property for bilateral operator weighted shifts, Proc. Amer. Math. Soc., 133 (2005), no. 2, 485-491.
  15. A. Bourhim, O. El Fallah and K. Kellay, Boundary behaviour of functions of Nevanlinna class, Indiana Univ. Math. J. 53 (2004), 347-396.
  16. A. Bourhim, Local spectra of unilateral operator-valued weighted shifts, Chinese Annals of Mathematics, Series B, 25 (2004), no. 3, 369-382.
  17. A. Bourhim, Local spectra of bilateral operator-valued weighted shifts, Palermo, June 2003, Rend. Circ. Mat. Palermo (2) Suppl. No. 73 (2004), 195-206.
  18. A. Bourhim, On the local spectral properties of weighted shift operators, Studia Mathematica, 163 (1) (2004), 41-69.
  19. A. Bourhim, Bounded point evaluations for cyclic Hilbert space operators, Napoli, September 2001, Applied General Topology, Vol. 4 no. 2 (2003), 301-316.
  20. A. Bourhim, On the largest analytic set for cyclic operators, Int. J. Math. Math. Sci., 30 (2003), 1899-1909.
  21. A. Bourhim, C. E. Chidume and E. H. Zerouali, Bounded point evaluations for cyclic operators and local spectra, Proc. Amer. Math. Soc. 130 (2002), no. 2, 543-548.
  22. A. Bourhim, O. El Fallah and K. Kellay, Comportement radial des fonctions de la classe de Nevanlinna, C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), no. 6, 529-532.
Preprints and unpublished manuscripts
  1. A. Bourhim, Bounded Point Evaluations and Local Spectral Theory, Diploma thesis.
Mathematical reviewer
Membership in editorial boards
Selected invited talks and seminars