Let $X$ be a complex Banach space with open unit ball $B_X.$ We describe some recent work and a number of open problems related to the maximal ideal spaces of the Fréchet algebra of holomorphic functions of bounded type on $X$ and the Banach algebra of bounded holomorphic functions on $B_X$.
"Some problems concerning algebras of holomorphic functions." Funct. Approx. Comment. Math. 59 (2) 269 - 277, December 2018. https://doi.org/10.7169/facm/1738