Wikipedia:WikiProject Mathematics/PlanetMath Exchange/46-XX Functional analysis: Difference between revisions

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46-00 General reference works (handbooks, dictionaries, bibliographies, etc.): added status for "Cauchy sequence": WP article is more complete
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::PM article is a proof which is not included in WP; p.v. (1/x) is a nice example of a distribution which should be mentioned in WP. Connection with [[renormalization]]? [[User:Jitse Niesen|Jitse Niesen]] 13:32, 31 Jan 2005 (UTC)
 
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4425 balanced set], id=4425 -- WP guess: [[balanced set]] -- Status: '''needs to be copied'''
::No WP article, could perhaps be included in [[Fréchet space]]. [[User:Jitse Niesen|Jitse Niesen]] 13:32, 31 Jan 2005 (UTC)
 
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4426 bounded function], id=4426 -- WP: [[bounded]], [[bounded function]], [[Banach space]] -- Status: '''needs to be merged'''
 
::PM definition is included in [[bounded]], while [[bounded function]] uses a different definition coming from order theory. The space of bounded functions is treated as an example in [[Banach space]]. [[User:Jitse Niesen|Jitse Niesen]] 13:32, 31 Jan 2005 (UTC)
 
* PM: [http://planetmath.org/?op=getobj&from=objects&id=4429 bounded set (in a topological vector space)], id=4429 -- WP: [[bounded]] -- Status: '''needs to be merged'''
::PM definition is more general. Need to create article [[bounded set]], possibly as a redirect to bounded. The thm in PM (compact implies bounded) should be added. [[User:Jitse Niesen|Jitse Niesen]] 13:32, 31 Jan 2005 (UTC)