In functional analysis and related areas of mathematics, a BK-space or Banach coordinate space is a sequence space endowed with a suitable norm to turn it into a Banach space. All BK-spaces are normable FK-spaces. Examples The space of convergent sequences the space of vanishing sequences and the space of bounded sequences under the supremum norm The space of absolutely p-summable sequences with and the norm See also References Banach spaces Topological vector spaces