I'm looking for good textbooks on the subjects. If you know one(s), please let me know.
Also: Dineen, Seán Complex analysis in locally convex spaces. NorthHolland Mathematics Studies, 57. Notas de Matemática [Mathematical Notes], 83. NorthHolland Publishing Co., AmsterdamNew York, 1981. xiii+492 pp. ISBN: 0444863192 and Nachbin, Leopoldo Topology on spaces of holomorphic mappings. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47 SpringerVerlag New York Inc., New York 1969 v+66 pp. 


Chae, Soo Bong. Holomorphy and Calculus in Normed Spaces, Marcel Dekker, 1985. J. Mujica. Complex analysis in Banach spaces. Holomorphic functions and domains of holomorphy in finite and infinite dimensions. NorthHolland, 1986. 

