Functional analysis provides the theoretical foundation for understanding spaces of functions and the linear mappings between them. Central to this discipline are Banach spaces: complete normed vector ...

We derive least-change updates of linear mappings that approximate derivatives of functions defined on abstract vector spaces; these correspond to well-known matrix updates. Our approach has the value ...

Normed linear spaces provide the foundational setting for modern functional analysis by equipping vector spaces with a notion of length. Within these spaces, orthogonality extends the Euclidean ...