Stochastic approximation - Revision history

186.233.197.14 at 17:55, 27 December 2014

2014-12-27T17:55:51Z

← Older revision		Revision as of 19:55, 27 December 2014
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	~~In [[operator theory]], a set <math>X\subseteq\mathbb{C}</math>~~ is ~~said to be~~ a '~~''spectral set''' for a (possibly unbounded) linear operator <math>T</math>~~ on ~~a Banach space if the [[Spectrum of an operator\|spectrum]] of <math>T</math>~~ is in <~~math~~>X<~~/math~~> ~~and von-Neumann's inequality holds for <math>T<~~/~~math> on <math>X<~~/~~math> - i~~.e. ~~for all rational functions <math>r(x)<~~/~~math> with no [[pole (complex analysis)\|poles]] on <math>X<~~/~~math>~~		Wilber Berryhill is the title his mothers and fathers gave him and he totally digs that title. She functions as a journey agent but soon she'll be on her personal. Mississippi is where her house is but her spouse wants them to transfer. To climb is something I really appreciate performing.<br><br>My web blog: psychic love readings ([http://ustanford.com/index.php?do=/profile-38218/info/ visit the up coming internet page])

	~~:<math>\left\Vert r(T) \right\Vert \leq \left\Vert r \right\Vert_{X} = \sup \left\{\left\vert r(x) \right\vert : x\in X \right\}<~~/~~math>~~

	~~This concept is related to~~ the ~~topic of analytic functional calculus~~
	~~of operators. In general, one wants to get more details about the operators constructed from functions with the original operator as the variable.~~

	~~{{DEFAULTSORT:Spectral Set}}~~
	~~[[Category:Functional analysis~~]]

	~~{{Mathanalysis-stub}}~~

en>Gareth Jones: /* Further developments */ template for reference

2014-01-07T10:54:31Z

Further developments: template for reference

← Older revision		Revision as of 12:54, 7 January 2014
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	~~Hi there. Let me start by introducing the author~~, ~~her name is Sophia Boon but she by no means really liked that name. Credit authorising~~ is ~~how she tends~~ to ~~make~~ a ~~residing. For a whilst I~~'~~ve been in Mississippi but now I~~'~~m considering other choices. One~~ of ~~the things she enjoys most~~ is ~~canoeing~~ and ~~she~~'s ~~been doing it~~ for ~~quite a whilst.~~<br><br>~~Also visit my blog post :: cheap [http:~~/~~/www~~.~~january-yjm~~.~~com~~/xe/~~index.php?mid=video&document_srl~~=~~158289 psychic solutions by lynne] [http~~:/~~/www~~.~~january-yjm~~.~~com/xe/index.php?mid=video&document_srl=158289 phone psychic readings]~~ [[~~http~~:~~//www.zavodpm.ru/blogs/glennmusserrvji/14565-great-hobby-advice-assist-allow-you-get-going www.zavodpm.ru~~]]		In [[operator theory]], a set <math>X\subseteq\mathbb{C}</math> is said to be a '''spectral set''' for a (possibly unbounded) linear operator <math>T</math> on a Banach space if the [[Spectrum of an operator\|spectrum]] of <math>T</math> is in <math>X</math> and von-Neumann's inequality holds for <math>T</math> on <math>X</math> - i.e. for all rational functions <math>r(x)</math> with no [[pole (complex analysis)\|poles]] on <math>X</math>

			:<math>\left\Vert r(T) \right\Vert \leq \left\Vert r \right\Vert_{X} = \sup \left\{\left\vert r(x) \right\vert : x\in X \right\}</math>

			This concept is related to the topic of analytic functional calculus
			of operators. In general, one wants to get more details about the operators constructed from functions with the original operator as the variable.

			{{DEFAULTSORT:Spectral Set}}
			[[Category:Functional analysis]]

			{{Mathanalysis-stub}}

en>Lockley: replace context tag with technical tag

2012-06-19T04:40:08Z

replace context tag with technical tag

New page

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