Rudi Brits

Prof
Name: Rudi Brits
Location: C Ring 519 Auckland Park Kingsway Campus
Mathematics and Applied Mathematics Academic Staff  Staff Members

Contact Details:
Tel: +27 (0) 11 559 2854

Email: rbrits@uj.ac.za

About Rudi Brits

Prof Brits’ area of research is in the field of Banach algebra theory, a subdiscipline of functional analysis, and, in particular, in the spectral theory of abstract Banach algebras. He studies the connection between spectral properties and algebraic properties of Banach algebra elements using subharmonic and representation theoretic methods. Further, he also investigates the relationship between multiplicative and linear properties of spectral functionals on Banach algebras.

Links

Google Scholar: https://scholar.google.com/citations?user=nA_aF5AAAAAJ&hl=en

Recent Publications

• Brits R; Schulz F; Touré C, Some character generating functions on Banach algebras, Math. Anal. Appl., 468, 2018, 704–715.
• Brits R; Schulz F; Touré C, A spectral characterization of isomorphisms on C*-algebras, Math., 113, 2019, 391-398.
• Brits R; Touré C, Multiplicative spectral functionals on C(X), Aust. Math. Soc., 102 (2020), 303-307.
• Brits R; Mabrouk M; Touré C, A multiplicative Gleason-Kahane-Żelazko theorem for C*-algebras, J. Math. Anal. Appl., 500 (1), 2021, 1-4
• Brits R; Schulz F; Touré C, Commutativity via spectra of exponentials, Canad. Math. Bull., 65 (4), 2022, 815–824
• Askes M; Brits R; Schulz F, Spectrally additive group homomorphisms on Banach algebras, J. Math. Anal. Appl., 508 (2), 2022, 1-16.
• Brits R; Hassen M; Schulz F, On Aupetit’s Scarcity Theorem, Colloq. Math., 171(2) 2023, 321-330.
• Brits R; Sebastian G; Touré C, A multiplicative Kowalski-Słodkowski Theorem for C*-algebras, Canad. Math. Bull., 66(3), 2023, 951-958.
• Alahmari K; Brits R; Mabrouk M, Continuous multiplicative spectral functionals on Hermitian Banach algebras, Ann. Funct. Anal. 15(65), 2024, 1-11.
• Brits R; Hassen M; Schulz F, Idempotents in Banach Algebras II. Math,. 47(3), 2024, 705-714.