Let X be a weakly $Lindel\ddot{o}f$ determined Banach space. We prove that if X is non-separable, then there exist a complete probability space (Ω, Σ, μ) and a ...

This paper deals with convergence theorems for martingales of strongly measurable Pettis integrable functions. First, a characterization of those martingales which converge in the Pettis norm is ...

Integrable systems occupy a unique niche in both classical and quantum physics. These systems are distinguished by the existence of sufficiently many conserved quantities – or invariants – that allow ...