Holomorphic functions on strong duals of Fr�chet-Montel spaces II (original) (raw)

This article verifies a conjecture concerning Silva (or Mackey) continuous G-holomorphic functions on strong duals of Fréchet-Montel (DFM) spaces, specifically focusing on Kőthe sequence spaces. Previous conjectures had been made regarding continuity properties of these functions, especially in the context of DFM spaces being distinct from DFS spaces. The authors recall foundational results on holomorphic functions in infinite dimensional spaces and provide a detailed proof of their main findings.