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Invariance of convex sets: An alternative proof and application to Black-Scholes operator

Invariance of convex sets: An alternative proof and application to Black-Scholes operator

An alternative proof of invariance of convex sets by the solution of non autonomous Cauchy problem is given. The proof is based on the recent integral approximation of time dependent operators A(t) acting on Hilbert space when they are associated with smooth sesquilinear forms a(t,.,.) defined on common dense domain …