Cauchy boundary condition: Difference between revisions

Revision as of 16:11, 21 October 2013

Food Technologist Anton from Oshawa, usually spends time with pursuits which includes beach tanning, best property developers in singapore developers in singapore and rowing. Loves to travel and ended up enthused after planing a trip to Cidade Velha. 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 $c_{0}$ and the space of bounded sequences $l^{\infty }$ under the supremum norm $\|\cdot \|_{\infty }$
the space of absolutely p-summable sequences $l^{p}$ with $p\geq 1$ and the norm $\|\cdot \|_{p}$

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+{{unref|date=October 2008}}
+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]]

Cauchy boundary condition: Difference between revisions

Revision as of 16:11, 21 October 2013

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