Continuous linear functional on Hilbert space H: φ(x) = ⟨x,y⟩ for unique y ∈ H. Dual H* ≅ H. Analogue for C(K)* = Radon measures.
Continuous linear functional on Hilbert space H: φ(x) = ⟨x,y⟩ for unique y ∈ H. Dual H* ≅ H. Analogue for C(K)* = Radon measures.