BK-space

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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.

[edit] Examples

the space of convergent sequences $c$ , the space of null sequences $c 0$ and the space of bounded sequences $l^\infty$ under the supremum norm $\|\|_{\infty}$
the space of absolutely p-summable sequences $l p$ with $p \ge 1$ and the norm $\|\|_p$

[edit] See also

FK-space

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