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

Revision as of 02:48, 31 January 2005

Revision as of 13:32, 31 January 2005

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==46-00 General reference works (handbooks, dictionaries, bibliographies, etc.)==

* PM: [http://planetmath.org/?op=getobj&from=objects&id=4434 T_f is a distribution of zeroth order], id=4434 -- WP guess: [[T_fDistribution]] -- Status: PM article is a distributionproof ofwhich zerothis not included in WP; WP doesn't even define the ''order'' of a distribution. [[User:Jitse Niesen|Jitse Niesen]] -- Status13:32, 31 Jan 2005 (UTC)

* PM: [http://planetmath.org/?op=getobj&from=objects&id=4473 \operatorname{p.\!v.}(\frac{1}{x}) is a distribution of first order], id=4473 -- WP guess: [[\operatornamepdistribution]] -- Status: PM article is a proof which is not included in WP; p.\!v. (\frac1x1/x) is a distributionnice example of firsta orderdistribution which should be mentioned in WP. Connection with [[renormalization]]? --[[User:Jitse StatusNiesen|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: 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 guess: [[bounded]], [[bounded function]], [[Banach space]] -- Status: 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: guess[[bounded]] -- Status: PM definition is more general. Need to create article [[bounded set]], (inpossibly as a topologicalredirect vectorto spacebounded. The thm in PM (compact implies bounded) should be added. [[User:Jitse Niesen|Jitse Niesen]] -- Status13:32, 31 Jan 2005 (UTC)

* PM: [http://planetmath.org/?op=getobj&from=objects&id=4472 Cauchy principal part integral], id=4472 -- WP guess: [[Cauchy principal part integral]] -- Status:

* PM: [http://planetmath.org/?op=getobj&from=objects&id=6195 Cauchy sequence], id=6195 -- WP guess: [[Cauchy sequence]] -- Status: