Touré , Cheick Kader (PhD)
Cheick Kader Touré was born on June 2, 1989 in Abidjan, Ivory Coast. After matriculating with a French Scientific Baccalaureate at Lamartine High School in 2007, he studied Engineering in Montpellier and then moved to South Africa with the aim of learning English. During this period, he also enrolled for a BSc degree at the University of Johannesburg. He continued his postgraduate studies at UJ, obtaining all the qualifications cum laude. Mr Touré enrolled for a PhD degree in 2017. Mr Touré currently resides in London where he works as an actuary. In his thesis, Mr Touré investigated multiplicative versions of the classical Gleason- Kahane-Zelazko-, and Kowalski-Zlodkowski Theorems. In the first of three research papers, he developed a collection of original techniques to show that any continuous multiplicatively spectral functional on a C*-algebra generates a corresponding character on the algebra, and, moreover, that the functional coincides with the character on the principle component of its invertible group. He then showed that in any Banach algebra with totally disconnected spectra such a functional is necessarily equal to its induced character. In subsequent research he further showed that any continuous multiplicative spectral functional on a commutative C*-algebra is in fact a character; this gives the best possible multiplicative version of the Gleason-Kahane-Zelazko Theorem for algebras of continuous functions on compact Hausdorff spaces.
Supervisor: Prof RM Brits Co-supervisor: Dr FP Schulz
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