缅北禁地

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Staff Profile

Dr Michael Dritschel

Reader in Pure Mathematics

  • Email: michael.dritschel@ncl.ac.uk
  • Telephone: +44 (0) 191 208 7229
  • Fax: +44 (0) 191 208 8020
  • Personal Website:
  • Address: School of Mathematics, Statistics and Physics
    Herschel Building
    缅北禁地
    缅北禁地 upon Tyne
    NE1 7RU
    UK
Research

Research Interests

These are, broadly speaking, operator theory, operator algebras, complex function theory, and the interplay between these areas. My most recent work is a Fejer-Riesz type factorization theorem for non-negative operator valued trigonometric polynomials in two variables.  I've also co-authored a paper with my student Batzorig Undrakh on the rational dilation problem for spectral sets contained in a broad class of distinguished varieties, vastly extending work done both with another former student, James Pickering, and with Scott McCullough and Michael Jury.

Publications
  • Dritschel MA. Factoring non-negative operator valued trigonometric polynomials in two variables. 2019. Available at: https://arxiv.org/pdf/1811.06005. Submitted.
  • Dritschel MA, Undrakh B. . Journal of Mathematical Analysis and Applications 2018, 467(1), 95-131.
  • Dritschel MA, Estevez D, Yakubovich D. . Journal of Mathematical Analysis and Applications 2018, 463(1), 345-364.
  • Dritschel MA, Estévez D, Yakubovich D. . Journal of Functional Analysis 2017, 273(3), 984-1019.
  • Dritschel MA, Estévez D, Yakubovich D. . Journal of the London Mathematical Society 2017, 95(2), 414-440.
  • Dritschel MA, Jury MT, McCullough S. . Operators and Matrices 2016, 10(4), 829-861.
  • Dritschel MA. . In: Daniel Alpay, ed. Operator Theory. Basel: Springer, 2015, pp.219-239.
  • Dritschel MA, Bhattacharyya T, ed. . Basel: Birkhauser Basel, 2015.
  • Dritschel MA. Realizations via preorderings with application to the Schur class. 2015. In Preparation.
  • Dritschel MA, Ball JA, ter Elst AFM, Portal P, Potapov D, ed. . Birkhäuser/Springer, Cham, 2014.
  • Dritschel MA, Battacharyya T, Todd CS. Completely Bounded Kernels. Acta Scientiarum Mathematicarum (Szeged) 2013, 79(1-2), 191-217.
  • Dritschel MA, Pickering J. . Transactions of the American Mathematical Society 2012, 364(11), 5589-5604.
  • Dritschel MA, Rovnyak J. . In: Axler, S., Rosenthal, P., Sarason, D, ed. A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam. Basel, Switzerland: Springer, 2010, pp.223-254.
  • Dritschel MA, McCullough S. Test Functions, Kernels, Realizations and Interpolation. In: Bakonyi, M; Gheondea, A; Rovnyak, J, ed. Operator Theory, Structured Matrices, and Dilations: Tiberiu Constantinescu Memorial Volume. Bucharest: American Mathematical Society, 2007.
  • Dritschel MA, Marcantognini S, McCullough S. . Journal fur die Reine und Angewandte Mathematik 2007, (606), 1-40.
  • Dritschel MA, ed. . Basel: Birkhäuser Verlag, 2007.
  • Dritschel MA, Mccullough S. . Journal of the American Mathematical Society 2005, 18(4), 873-918.
  • Dritschel MA, Woerdeman HJ. . Transactions of the American Mathematical Society 2005, 357(11), 4661-4679.
  • Dritschel MA, Mccullough SA. . Journal of Operator Theory 2005, 53(1), 159-167.
  • Dritschel MA. . Integral Equations and Operator Theory 2004, 49(1), 11-42.
  • Dritschel, MA. . In: Alpay, D.; and Vinnikov, V, ed. Operator theory, system theory and related topics. Basel: Birkhäuser, 2001, pp.195-206.
  • Dritschel MA, McCullough S. . Integral Equations and Operator Theory 2000, 36(2), 182-192.
  • Dritschel MA, McCullough S, Woerdeman HJ. . Journal of Operator Theory 1999, 41(2), 321-350.
  • Dritschel Michael A., Woerdeman, Hugo J. Model theory and linear extreme points in the numerical radius unit ball. Memoirs of the American Mathematical Society. No. 615, 3rd of 4 numbers 1997, 129, viii+62.
  • Dritschel MA, Rovnyak J. Operators on indefinite inner product spaces. Fields Institute Monographs no.3, Amer.Math.Soc. Edited by Peter Lancaster 1996, 3, 141-232.
  • Dritschel, Michael A. Compact perturbations of operators on Kre\u\i n spaces. Harmonic analysis and operator theory (Caracas, 1994), Contemp. Math., Amer. Math. Soc., Providence, RI, 1995 1994, 189, 201-211.
  • Cowen, Carl C., Dritschel, Michael A., Penney, Richard C. Norms of Hadamard multipliers. SIAM J. Matrix Anal. Appl 1994, 15(1), 313-320.
  • Dritschel, Michael A. A method for constructing invariant subspaces for some operators on Kre\u\i n spaces. Operator extensions, interpolation of functions and related topics (Timi\c soara, 1992), Oper. Theory Adv. Appl., Birkhäuser, Basel 1993, 61, 85-113.
  • Dritschel, Michael A. The essential uniqueness property for operators on Kre\u\i n spaces. J. Funct. Anal. (Reviewer: Vladimir Derkach) 47B50 1993, 118(1), 198-248.
  • Dritschel, Michael A., Rovnyak, James. Julia operators and complementation in Kre\u\i n spaces. Indiana Univ. Math. J. 40, no. 3, 885--901. (Reviewer: J. Bognár) 46C20 (46E22 47B50) 1991.
  • Dritschel, Michael A., Rovnyak, James. Extension theorems for contraction operators on Kre\u\i n spaces. Extension and interpolation of linear operators and matrix functions, Oper. Theory Adv. Appl., irkhäuser, Basel 1990, 47, 221-305.
  • Dritschel, Michael A. A lifting theorem for bicontractions on Kre\u\i n spaces. J. Funct. Anal. 89 1990, 1, 61-89.