Algebraic structures and linear maps form a cornerstone in modern mathematics, underpinning areas as diverse as abstract algebra and functional analysis. Algebraic structures such as groups, rings, ...

*Note: This course discription is only applicable to the Computer Science Post-Baccalaureate program. Additionally, students must always refer to course syllabus for the most up to date information.

In the first part we show that the decomposition of a bounded selfadjoint linear map from a $C^\ast$-algebra into a given von Neumann algebra as a difference of two ...

We show that every unital linear bijection which preserves the maximal left ideals from a semi-simple Banach algebra onto a C *-algebra of real rank zero is a Jordan isomorphism. Furthermore, every ...