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• Normed space
  ...is endowed with a [[norm (mathematics)|norm]]. A [[completeness|complete]] normed space is called a [[Banach space]]. ...\in [0,1]}|f(x)|</math>. This is an example of an ''infinite dimensional'' normed space.
  982 bytes (148 words) - 07:17, 3 December 2007
• Normed space/Approval
  12 bytes (1 word) - 08:59, 16 November 2007
• Normed space/Definition
  80 bytes (12 words) - 10:18, 4 September 2009
• Normed space/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Normed space]]. Needs checking by a human.
  565 bytes (76 words) - 19:05, 11 January 2010

Page text matches

• Normed space
  ...is endowed with a [[norm (mathematics)|norm]]. A [[completeness|complete]] normed space is called a [[Banach space]]. ...\in [0,1]}|f(x)|</math>. This is an example of an ''infinite dimensional'' normed space.
  982 bytes (148 words) - 07:17, 3 December 2007
• Banach space/Related Articles
  {{r|Normed space}}
  423 bytes (60 words) - 15:14, 28 July 2009
• Space (mathematics)/Related Articles
  {{r|Normed space}}
  359 bytes (48 words) - 15:04, 28 July 2009
• Normed space/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Normed space]]. Needs checking by a human.
  565 bytes (76 words) - 19:05, 11 January 2010
• Bounded set/Related Articles
  {{r|Normed space}}
  322 bytes (45 words) - 13:51, 26 July 2008
• Bounded set
  In [[mathematics]], a '''bounded set''' is any [[set|subset]] of a [[normed space]] whose elements all have norms which are bounded from above by a fixed pos Let ''X'' be a normed space with the [[norm (mathematics)|norm]] <math>\|\cdot\|</math>. Then a set <ma
  1 KB (188 words) - 05:37, 29 December 2008
• Banach space
  ...nctional analysis]], a '''Banach space''' is a [[completeness|complete]] [[normed space]]. It is named after famed Hungarian-Polish mathematician [[Stefan Banach]] ...hematics)|norm]] is a Banach space. More generally, any finite dimensional normed space is a Banach space (due to its isomorphism to some Euclidean space).
  2 KB (317 words) - 13:13, 14 July 2008
• Norm (mathematics)/Related Articles
  {{r|Normed space}}
  576 bytes (77 words) - 19:04, 11 January 2010
• Norm (mathematics)
  ...t|metric]] <math>d</math> on ''X'' as <math>d(x,y)=\|x-y\|</math>. Hence a normed space is also a [[metric space]].
  880 bytes (157 words) - 22:28, 20 February 2010
• Inner product space
  ...[[vector space]] that is endowed with an [[inner product]]. It is also a [[normed space]] since an inner product induces a norm on the vector space on which it is
  1 KB (204 words) - 14:38, 4 January 2009
• Totally bounded set
  ...a finite number of "open balls" of radius ''r''. In a finite dimensional [[normed space]], such as the Euclidean spaces, total boundedness is ''equivalent'' to [[b
  975 bytes (166 words) - 15:27, 6 January 2009
• Compact space
  For the special case that the set is a subset of a finite dimensional [[normed space]], such as the [[Euclidean space]]s, then compactness is equivalent to that
  4 KB (652 words) - 14:44, 30 December 2008
• Metric space
  [[Normed space]]
  6 KB (1,068 words) - 07:30, 4 January 2009
• Space (mathematics)
  ====[[Normed space|Normed]], [[Banach space|Banach]], [[Inner product space|inner product]], a ...ological space and a metric space. A Banach space is defined as a complete normed space. Many spaces of sequences or functions are infinite-dimensional Banach spac
  28 KB (4,311 words) - 08:36, 14 October 2010