For Banach spaces X and Y, we show that every unital bijective invertibility preserving linear map between L(X) and L(Y) is a Jordan isomorphism. The same conclusion holds for maps between CI + K(X) ...

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 ...

CBSE Class 12 Maths Mind Map Linear Programming: The Central Board of Secondary Education (CBSE) is a popular school board in India and conducts the year-end board exams for lakhs of students. It’s ...