normed vector space
vector space on which a distance is defined
strictly convex space
normed vector space for which the closed unit ball is strictly convex
inner product space
real or complex vector space with an additional structure called an inner product
operator space
in functional analysis, a space that can be embedded into the space of bounded operators
Banach space
normed vector space that is complete
Hardy space
space of holomorphic functions on the unit disk or upper half plane