Cauchy boundary condition: Difference between revisions

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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 (mathematics)|norm]] to turn it into a [[Banach space]]. All BK-spaces are normable [[FK-space]]s.
 
== Examples ==
 
* the [[space of convergent sequences]] <math>c</math>, the [[space of null sequences]] <math>c_0</math> and the [[space of bounded sequences]] <math>l^\infty</math> under the [[supremum norm]] <math>\|\cdot\|_{\infty}</math>
* the space of [[absolutely p-summable sequences]] <math>l^p</math> with <math>p \ge 1</math> and the norm <math>\|\cdot\|_p</math>  
 
== See also ==
 
* [[FK-space]]
 
{{Mathanalysis-stub}}
 
[[Category:Banach spaces]]

Latest revision as of 22:12, 11 January 2015

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