A survey by Castillo lists results on the category of Banach spaces and on Banach space constructions, such as:
- Existence of limits in Banach spaces or suitable subcategories
- Demonstrations of adjointness of functors, even where the natural isomorphisms are in a suitable Banach space type category
- Exactness of functors in Banach space type categories or weaker properties
I would like to know whether such results exist in a different TVS setting, and where to find them if they do.