title: BK-space
text: # 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 vanishing sequences $c_{0},$ and the space of bounded sequences $\ell ^{\infty }$ under the supremum norm $\|\cdot \|_{\infty }$
  
  The space of absolutely p-summable sequences $\ell ^{p}$ with $p\geq 1$ and the norm $\|\cdot \|_{p}$
  
  