BK-space

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 c, the space of null sequences c₀ and the space of bounded sequences $l^\infty$ under the supremum norm $\|\cdot\|_{\infty}$
• the space of absolutely p-summable sequences l^p with $p \ge 1$ and the norm $\|\cdot\|_p$

See also

• FK-space