Ring of sets - Revision history

en>Darencline: changing "possibly" to "including when", to be clearer

2014-08-25T16:55:23Z

changing "possibly" to "including when", to be clearer

← Older revision		Revision as of 18:55, 25 August 2014
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	~~Golda~~ is ~~what~~'s ~~created on my birth certification although it is~~ not the name ~~on my birth certification~~. ~~My spouse~~ and ~~I live in Mississippi and I love psychics [~~[http://~~Brazil.Amor-Amore~~.com/~~irboothe related website]~~] ~~each working day living right here. My working day occupation is an invoicing officer but I've already utilized for another one. Playing badminton is a thing that he is completely addicted to.~~		The author is known as Irwin Wunder but it's not the most masucline name out there. To gather coins is what his family members and him enjoy. Years ago we moved to North Dakota. She is a librarian but she's usually needed her own company.<br><br>my blog :: home std test ([http://blogzaa.com/blogs/post/9199 Keep Reading])

en>Wlelsing at 13:35, 15 February 2014

2014-02-15T13:35:55Z

← Older revision		Revision as of 15:35, 15 February 2014
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	~~{{Noref\|date=November 2009}}~~		Golda is what's created on my birth certification although it is not the name on my birth certification. My spouse and I live in Mississippi and I love psychics [[http://Brazil.Amor-Amore.com/irboothe related website]] each working day living right here. My working day occupation is an invoicing officer but I've already utilized for another one. Playing badminton is a thing that he is completely addicted to.
	~~In [[mathematics]], a '''topological algebra''' ''A'' over a [[topological field]] '''K''~~' is a [[~~topological vector space]] together with a continuous multiplication~~

	~~:<math>\cdot~~ :~~A\times A \longrightarrow A<~~/~~math>~~
	~~:<math>(a,b)\longmapsto a\cdot b<~~/~~math>~~

	~~that makes it an [[algebra over a field\|algebra]] over '''K'''~~. ~~A unital [[associative algebra\|associative]] topological algebra is a [[topological ring]].~~
	~~An example of a topological algebra is the algebra C[0,1] of continuous real~~-~~valued functions on the closed unit interval [0,1],~~
	~~or more generally any [[Banach algebra]]~~.

	~~The term was coined by [[David van Dantzig]]; it appears in the title of his [[Thesis\|doctoral dissertation~~]] ~~(1931)~~.

	~~The natural notion of subspace in a topological algebra~~ is ~~that of a (topologically) closed [[subalgebra]]~~. ~~A topological algebra ''A''~~ is ~~said to be generated by~~ a ~~subset ''S'' if ''A'' itself is the smallest closed subalgebra of ''A''~~ that ~~contains ''S''. For example by the [[Stone–Weierstrass theorem]], the set {id<sub>[0,1]</sub>} consisting only of the identity function id<sub>[0,1]</sub>~~ is ~~a generating set of the Banach algebra C[0,1]~~.

	~~[[Category:Topological vector spaces]]~~
	~~[[Category:Topological algebra]]~~
	~~[[Category:Algebras]]~~

	~~{{topology-stub}}~~

en>Addbot: Bot: Migrating 8 interwiki links, now provided by Wikidata on d:q2064647 (Report Errors)

2013-02-26T17:44:33Z

Bot: Migrating 8 interwiki links, now provided by Wikidata on d:q2064647 (Report Errors)

← Older revision		Revision as of 19:44, 26 February 2013
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	The ~~writer~~ is ~~called Wilber Pegues~~. ~~My husband doesn~~'~~t like it the way I do but what I truly like doing~~ is ~~caving but I don~~'~~t have~~ the ~~time lately. Credit authorising is exactly where my primary earnings comes from. For many years he~~'~~s been residing in Alaska and he doesn~~'~~t plan on altering it~~.<br><br>~~Stop by my weblog~~ :: [~~http~~:~~//gcjcteam.org/index.php?mid=etc_video&document_srl=696611&sort_index=regdate&order_type=desc psychics online~~]		{{Noref\|date=November 2009}}
			In [[mathematics]], a '''topological algebra''' ''A'' over a [[topological field]] '''K''' is a [[topological vector space]] together with a continuous multiplication

			:<math>\cdot :A\times A \longrightarrow A</math>
			:<math>(a,b)\longmapsto a\cdot b</math>

			that makes it an [[algebra over a field\|algebra]] over '''K'''. A unital [[associative algebra\|associative]] topological algebra is a [[topological ring]].
			An example of a topological algebra is the algebra C[0,1] of continuous real-valued functions on the closed unit interval [0,1],
			or more generally any [[Banach algebra]].

			The term was coined by [[David van Dantzig]]; it appears in the title of his [[Thesis\|doctoral dissertation]] (1931).

			The natural notion of subspace in a topological algebra is that of a (topologically) closed [[subalgebra]]. A topological algebra ''A'' is said to be generated by a subset ''S'' if ''A'' itself is the smallest closed subalgebra of ''A'' that contains ''S''. For example by the [[Stone–Weierstrass theorem]], the set {id<sub>[0,1]</sub>} consisting only of the identity function id<sub>[0,1]</sub> is a generating set of the Banach algebra C[0,1].

			[[Category:Topological vector spaces]]
			[[Category:Topological algebra]]
			[[Category:Algebras]]

			{{topology-stub}}

en>Jarble at 13:58, 4 June 2012

2012-06-04T13:58:32Z

New page

The writer is called Wilber Pegues. My husband doesn't like it the way I do but what I truly like doing is caving but I don't have the time lately. Credit authorising is exactly where my primary earnings comes from. For many years he's been residing in Alaska and he doesn't plan on altering it.<br><br>Stop by my weblog :: [http://gcjcteam.org/index.php?mid=etc_video&document_srl=696611&sort_index=regdate&order_type=desc psychics online]