I am an associate lecturer and visiting research fellow at The Open University in the UK. My research is in pure mathematics, specifically functional analysis and group theory.
Group theory, functional analysis, abstract harmonic analysis, locally compact groups, discrete groups, Banach algebras, operator theory.
My research studies the Banach and operator algebras associated with locally compact groups, and seeks to better understand how properties of the underlying group are reflected in the associated algebras, and vice versa. These algebras include measure algebras, Fourier-Stieltjes algebras, and Beurling algebras, among others. One important aspect of this research concerns better understanding the structure and properties of the (left/right/two-sided) ideals of these algebras. Other interests of mine include amenability, Arens products on biduals, and algebras of operators on a Banach space.
[1] J. T. White, Weak*-simplicity of convolution algebras on discrete groups, Studia Mathematica 273 (2024), 267-289. arXiv
[2] J. T. White, The ideal structure of measure algebras and asymptotic properties of group representations, Journal of Operator Theory 91 no. 2 (2024), 373-398. arXiv
[3] J. T. White, On the Dales-Zelazko conjecture for Beurling algebras on discrete groups, Proceedings of the Edinburgh Mathematical Society (2) 66 no. 3 (2023), 613-624. arXiv
[4] J. T. White, Algebras associated with invariant means on the subnormal subgroups of an amenable group, Quarterly Journal of Mathematics 73 (2022), 495-515. arXiv
[5] N. J. Laustsen and J. T. White, Subspaces that can and cannot be the kernel of a bounded operator of a Banach space, Proceedings of the 23rd International Conference on Banach Algebras and Applications, De Gruyter Proceedings in Mathematics (De Gruyter 2020), 189-196. arXiv
[6] J. T. White, Left ideals of Banach algebras and dual Banach algebras, Proceedings of the 23rd International Conference on Banach Algebras and Applications, De Gruyter Proceedings in Mathematics (De Gruyter 2020), 227-253. arXiv
[7] J. T. White, The radical of the bidual of a Beurling algebra, Quarterly Journal of Mathematics 69 (2018), 975-993. arXiv
[8] N. J. Laustsen and J. T. White, An infinite C*-algebra, with a dense, stably-finite *-subalgebra, Proceedings of the American Mathematical Society 146 (2018), 2523-2528. arXiv
[9] J.T. White, Finitely-generated left ideals in Banach algebras on groups and semigroups, Studia Mathematica 239 (2017), 67-99. arXiv
My PhD thesis, entitled Banach algebras on groups and semigroups, can be found here.
See here: CV
I can be reached by email at jw65537 AT gmail DOT com.