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 ...
We construct a non-separable Banach space every nonzero element of which is a bounded derivative that is not Riemann integrable. This in particular improves a result presented in [3], where the ...
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 ...
Integrable systems occupy a central position in contemporary mathematical physics, embodying models whose complex dynamics can be exactly resolved by means of analytical techniques. Classical ...
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