Choi Goe

Professor Choi Goe's research lab specializes in functional analysis, with a focus on the geometry of Banach spaces, polynomial and multilinear mappings, and numerical indices. The lab investigates the interplay between norms, numerical radii, and the Daugavet property in complex and real Banach spaces, particularly for weakly compact and holomorphic mappings. Key themes include the polynomial numerical index of order $k$, boundary theory for algebras of holomorphic functions, and the structure of function spaces such as $C(K,X)$ and $L^p(X)$, with a strong emphasis on complex convexity and duality. The lab also explores extremal properties of norms and summability in polynomial mappings from classical sequence spaces.