Dr Zinaida A Lykova

Visiting Fellow

Reader in Pure Mathematics till August 2025

Dr Zinaida Lykova
Department FAX: +44 (0)191 208 8020
Email: Zinaida.Lykova@ncl.ac.uk

Address:

School of Mathematics, Statistics and Physics
Newcastle University
Newcastle upon Tyne
NE1 7RU

Qualifications:

  • BSc, MSc, D.Phil., Moscow State University
  • Dotsent, the State Committee of the Russian Federation for Higher Education

Languages:

  • Russian, English

Research interests:

  • Functional analysis, operator theory
  • Complex Variable, particularly boundary interpolation problems
  • Homological theory of topological algebras
  • Cyclic type (co)homology of topological algebras
  • Higher-dimensional amenability of Banach algebras
  • Extensions of topological algebras
  • C*-algebras

Recent Publication:

  • J Agler, Z Lykova, NJ Young Function theory on the annulus in the dp-norm, arXiv preprint arXiv:2505.04483
  • Agler J, Lykova ZA, Young NJ. Function theory in the bfd-norm on an elliptical region. Journal of Mathematical Analysis and Applications 2025, 541(2), 128732.
  • Agler J, Lykova ZA, Young NJ. On the operators with numerical range in an ellipse. Journal of Functional Analysis 2024, 287(8), 110556.
  • Alshehri NM, Lykova ZA. A Schwarz lemma for the pentablock. The Journal of Geometric Analysis 2023, 33, 65.
  • Agler J, Lykova ZA, Young NJ. A Hilbert space approach to singularities of functions. Journal of Functional Analysis 2023, 284(6), 109826.
  • Alsalhi OMO, Lykova ZA. Rational tetra-inner functions and the special variety of the tetrablock. Journal of Mathematical Analysis and Applications 2022, 506(1), 125534.
  • Agler J, Lykova ZA, Young NJ. Nonuniqueness of Carathéodory extremal functions on the symmetrized bidisc. Analysis Mathematica 2022, 48, 287-306.
  • Agler J, Lykova ZA, Young NJ. Intrinsic Directions, Orthogonality and Distinguished Geodesics in the Symmetrized Bidisc. The Journal of Geometric Analysis 2021, 31, 8202-8237.
  • Alshammari HO, Lykova ZA. Interpolation by holomorphic maps from the disc to the tetrablock. The Journal of Mathematical Analysis and Applications 2021, 498(2), 124951.
  • Chiotis D, Lykova ZA, Young NJ. Exterior products of operators and superoptimal analytic approximation. Transactions of the London Mathematical Society 2021, 8(1), 299-412.
  • Chiotis D, Lykova ZA, Young NJ. Exterior powers and pointwise creation operators. Complex Analysis and Operator Theory 2021, 15, 29.
  • Agler, J., Lykova, Z.A. and Young, N.J., A Geometric Characterization of the Symmetrized Bidisc, Journal of Mathematical Analysis and Applications 2019, 473 (2), 1377-1413; https://doi.org/10.1016/j.jmaa.2019.01.027, 45 pp.; arXiv:1901.03100 [math.CV].
  • Agler, J., Lykova, Z.A. and Young, N.J., Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc, Memoirs of the American Mathematical Society, 2019, v. 258, no. 1242, 106pp; https://bookstore.ams.org/memo-258-1242/, arxiv: 1603.04030 [math.CV]
  • Agler, J., Lykova, Z.A. and Young, N.J., Characterizations of some domains via Carathéodory extremals, Journal of Geometric Analysis (2019), https://doi.org/10.1007/s12220-018-0059-6; arXiv:1802.09056 [math.CV], 17 pp.
  • Lykova, Z.A., Young, N.J., and Ajibo, A., Analytic interpolation into the tetrablock and $\mu$-synthesis problem, In: Bolotnikov V., ter Horst S., Ran A., Vinnikov V. (eds) Interpolation and Realization Theory with Applications to Control Theory, Operator Theory: Advances and Applications, v. 272 (2019) pp. 269-281, Birkhäuser, Cham; arXiv:1802.09067 [math.CV].
  • Agler, J., Lykova, Z.A. and Young, N.J., Carathéodory extremal functions on the symmetrized bidisc, In: Bart H., ter Horst S., Ran A., Woerdeman H. (eds) Operator Theory, Analysis and the State Space Approach . Operator Theory: Advances and Applications, v. 271 (2018) pp.1-21, Birkhäuser, Cham; https://doi.org/10.1007/978-3-030-04269-1_1 , arXiv:1712.00749 [math.CV].
  • Agler, J., Lykova, Z.A. and Young, N.J., Algebraic and geometric aspects of rational G-inner functions, Advances in Mathematics, 2018, 328, 133-159; https://doi.org/10.1016/j.aim.2017.12.018
  • Brown, D.C., Lykova, Z.A. and Young, N.J., A rich structure related to the construction of holomorphic matrix functions, Journal of Functional Analysis, 2017, 272(4), 1704--1754. http://dx.doi.org/10.1016/j.jfa.2016.11.013
  • Agler, J., Lykova, Z.A. and Young, N.J., Finite Blaschke products and the construction of rational G-inner functions, Journal of Mathematical Analysis and Applications, 2017, 447, 1163--1196. https://dx.doi.org/10.1016/j.jmaa.2016.10.035
  • Agler, J., Lykova, Z.A. and Young, The complex geometry of a domain related to mu-synthesis, Journal of Mathematical Analysis and Applications, 2015, 422, 508--543; https://dx.doi.org/10.1016/j.jmaa.2014.08.051
  • Agler, J., Lykova, Z.A. and Young, N.J., 3-extremal holomorphic maps and the symmetrised bidisc, Journal of Geometric Analysis, 2015, 25 (3), 2060-2102; https://dx.doi.org/10.1007/s12220-014-9504-3 (arXiv: 1307.7081v1 [math.CV])
  • Agler, J., Lykova, Z.A. and Young, N.J. A case of mu-synthesis as a quadratic semidefinite program, SIAM Journal on Control and Optimization, 2013, 51(3), 2472-2508; https://dx.doi.org/10.1137/120873248
  • Agler, J., Lykova, Z.A. and Young, N.J. Extremal holomorphic maps and the symmetrised bidisc, Proceedings of the London Math. Soc., 2013, 106 (4), 781-818; available online doi: 10.1112/plms/pds049.
  • Cushing, D. and Lykova, Z.A. Projectivity of Banach and C*-algebras of continuous fields, The Quarterly Journal of Mathematics, 2013, 64(2), 341-371; available online doi:10.1093/qmath/has005.
  • Lykova, Z.A. The higher-dimensional amenability of tensor products of Banach algebras, Journal of Operator Theory 2012, 67(1), 73-100.
  • Agler, J., Lykova, Z.A. and Young, N.J. Pseudo-Taylor expansions and the Carathéodory-Fejér problem, Journal of Mathematical Analysis and Applications, 2012, 386, 308-318; available online doi:10.1016/j.jmaa.2011.08.001.
  • Agler, J., Lykova, Z.A. and Young, N.J. The boundary Carathéodory-Fejér interpolation problem, Journal of Mathematical Analysis and Applications, 2011, 382(2), 645-662; available online doi:10.1016/j.jmaa.2011.04.071.
  • Lykova, Z.A. Hochschild cohomology of tensor products of topological algebras, Proceedings of the Edinburgh Math. Soc. 2010, 53(2), 447-470.
  • Lykova, Z.A. Cyclic cohomology of certain nuclear Fréchet and DF-algebras, Central European Journal of Math. 2008, 6(3), 405-421.
  • Lykova, Z.A. Cyclic-type cohomology of strict inductive limits of Fréchet algebras, Journal of Pure and Applied Algebra 2006, 205, 471-497.
  • Lykova, Z.A. Cyclic cohomology of projective limits of topological algebras, Proceedings of the Edinburgh Mathematical Society 2006, 49, 173-199.
  • Gourdeau, F., Lykova, Z.A. and White, M.C. A Kunneth formula in topological homology and its applications to the simplicial cohomology of l1(Zk+), Studia Mathematica 2005, 166, 29-54.
  • Gourdeau, F., Lykova, Z.A. and White, M.C. The simplicial cohomology of L1(Rk +). Contemporary Mathematics of the American Mathematical Society 2004, 363, 95-109.
  • Lykova, Z.A. Relations between the homologies of C*-algebras and their commutative C*-subalgebras. Mathematical Proceedings of the Cambridge Philosophical Society 2002, 132, 155-168.
  • Brodzki, J. and Lykova, Z.A. Excision in cyclic type homology of Fréchet algebras. Bulletin of the London Mathematical Society 2001, 33, 283-291.
  • Bade, W.G., Dales, H.G., Lykova, Z.A. Algebraic and strong splittings of extensions of Banach algebras. Memoirs of the American Mathematical Society 1999, 137, 1-113.
  • Lykova, Z.A. Relative cohomology of Banach algebras. J. Operator Theory 1999, 41, 23-53.

Former Research students:

School of Mathematics and Statistics WWW http://www.ncl.ac.uk/maths