Infinite-dimensional systems, characterised by state spaces of infinite dimension such as those described by partial differential equations, present profound challenges and opportunities within ...

Abstract Using the axiom of choice, we prove a generalized converse of the well-known fact that if X is a finite-dimensional vector space, then any linear functional on X is continuous with respect to ...

Sufficient conditions are given for the existence, uniqueness and finite-dimensional approximation of the solution to a first-order infinite-dimensional vector differential equation. Given a suitable ...