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• Banach space
  ...atics]], particularly in the branch known as [[functional analysis]], a '''Banach space''' is a [[completeness|complete]] [[normed space]]. It is named after famed ...real) Banach space is called its [[dual space]]. This dual space is also a Banach space when endowed with the operator norm on the continuous (hence, bounded) line
  2 KB (317 words) - 13:13, 14 July 2008
• Banach space/Approval
  12 bytes (1 word) - 03:27, 18 December 2007
• Banach space/Bibliography
  137 bytes (15 words) - 13:13, 14 July 2008
• Banach space/Definition
  88 bytes (13 words) - 16:25, 14 July 2008
• Banach space/Related Articles
  423 bytes (60 words) - 15:14, 28 July 2009

Page text matches

• Banach space
  ...atics]], particularly in the branch known as [[functional analysis]], a '''Banach space''' is a [[completeness|complete]] [[normed space]]. It is named after famed ...real) Banach space is called its [[dual space]]. This dual space is also a Banach space when endowed with the operator norm on the continuous (hence, bounded) line
  2 KB (317 words) - 13:13, 14 July 2008
• Space (mathematics)/Related Articles
  {{r|Banach space}}
  359 bytes (48 words) - 15:04, 28 July 2009
• Dual space
  ...[[topological space|topology]] induced by the operator norm. If ''X'' is a Banach space then its dual space is often denoted by ''X'''. Let ''X'' be a [[Banach space]] over a [[field (mathematics)|field]] ''F'' which is real or complex, then
  4 KB (605 words) - 17:25, 20 November 2008
• Hilbert space
  ...t space has additional useful geometric properties that are not found in a Banach space; these properties may be exploited to simplify analysis or to obtain strong [[Banach space]]
  2 KB (258 words) - 12:33, 4 January 2009
• Normed space
  ...athematics)|norm]]. A [[completeness|complete]] normed space is called a [[Banach space]]. * [[Banach space]]
  982 bytes (148 words) - 07:17, 3 December 2007
• Complete metric space/Related Articles
  {{r|Banach space}}
  297 bytes (43 words) - 12:20, 4 January 2009
• Normed space/Related Articles
  {{r|Banach space}}
  565 bytes (76 words) - 19:05, 11 January 2010
• Dual space/Related Articles
  {{r|Banach space}}
  497 bytes (65 words) - 16:06, 11 January 2010
• Spectrum (linear operator)/Definition
  ...nclude>A set of values {λ} characteristic of an operator ''O'' mapping a [[Banach space]] into itself such that {{nowrap|''O x_&lambda;''<nowiki> =</nowi
  282 bytes (45 words) - 11:13, 13 June 2012
• Norm (mathematics)/Related Articles
  {{r|Banach space}}
  576 bytes (77 words) - 19:04, 11 January 2010
• Inner product space/Related Articles
  {{r|Banach space}}
  940 bytes (149 words) - 15:13, 28 July 2009
• Function (mathematics)/Related Articles
  {{r|Banach space}}
  1 KB (172 words) - 15:25, 15 May 2011
• Schröder-Bernstein property/Related Articles
  {{r|Banach space}}
  969 bytes (152 words) - 13:42, 25 September 2010
• Spectrum (linear operator)
  A bounded, linear operator ''O'' that maps a [[Banach space]] into itself has a '''spectrum''' of values {''&lambda;''} provided there
  1,021 bytes (155 words) - 11:06, 13 June 2012
• Complete metric space
  * [[Banach space]]
  3 KB (441 words) - 12:23, 4 January 2009
• Schröder-Bernstein property
  [[Banach space]]s violate the Schröder–Bernstein property;<ref name=Ca>{{harvnb|Casazza
  6 KB (944 words) - 08:32, 14 October 2013
• Schröder-Bernstein property/Citable Version
  [[Banach space]]s violate the Schröder–Bernstein property;<ref name=Ca>{{harvnb|Casazza
  6 KB (944 words) - 15:09, 23 September 2013
• Equation (mathematics)
  ..., so that the set of possible values is some functional space, usually a [[Banach space|Banach]] or even [[Hilbert space|Hilbert]] space; the function <math> F </m
  6 KB (951 words) - 05:01, 8 December 2009
• Metric space
  ...of the metric spaces which appear in other branches of mathematics (e.g. [[Banach space]]s, in particular [[Hilbert space]]s).
  6 KB (1,068 words) - 07:30, 4 January 2009
• Space (mathematics)
  ====[[Normed space|Normed]], [[Banach space|Banach]], [[Inner product space|inner product]], and [[Hilbert space|Hilber ...very normed space is both a linear topological space and a metric space. A Banach space is defined as a complete normed space. Many spaces of sequences or function
  28 KB (4,311 words) - 08:36, 14 October 2010