On Greenberg--Benois $\mathcal{L}$-invariants and Fontaine--Mazur $\mathcal{L}$-invariants

We prove a comparison theorem between Greenberg–Benois $\mathcal{L}$-invariants and Fontaine–Mazur $\mathcal{L}$-invariants. Such a comparison theorem supplies an affirmative answer to a speculation of Besser–de Shalit.