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, ...

Sets and maps; vector spaces and linear maps, matrix of linear maps, solving systems of equations, scalar products and orthogonality, eigenvalues and applications. Masters degree credit for Teachers ...

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 ...

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 ...

Description: Review of basics: vector spaces, dimension, linear maps, matrices determinants, linear equations. Bilinear forms; inner product spaces; spectral theory; eigenvalues. Modules over a ...