I'm looking for good textbooks on the subjects. If you know one(s), please let me know.
2 Answers
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. North-Holland, 1986.
Also: Dineen, Seán Complex analysis in locally convex spaces. North-Holland Mathematics Studies, 57. Notas de Matemática [Mathematical Notes], 83. North-Holland Publishing Co., Amsterdam-New York, 1981. xiii+492 pp. ISBN: 0-444-86319-2
and
Nachbin, Leopoldo Topology on spaces of holomorphic mappings. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47 Springer-Verlag New York Inc., New York 1969 v+66 pp.