Printer Friendly
Dictionary, Encyclopedia and Thesaurus - The Free Dictionary
3,924,304,962 visitors served.
forum Join the Word of the Day Mailing List For webmasters
?
Dictionary/
thesaurus
Medical
dictionary
Legal
dictionary
Financial
dictionary
Acronyms
 
Idioms
Encyclopedia
Wikipedia
encyclopedia
?

closed operator
(redirected from Unbounded operator)

   Also found in: Wikipedia 0.01 sec.
closed operator [¦klōzd ′äp·ə‚rād·ər]
(mathematics)
A linear transformation ƒ whose domainAis contained in a normed vector spaceXsatisfying the condition that if limxn=xfor a sequencexninA,and lim ƒ(xn) =y,thenxis inAand ƒ(x) =y.


Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content.
?Page tools
Printer friendly
Cite / link
Feedback
Mentioned in?  References in periodicals archive?   Encyclopedia browser?   Full browser?
No references found
 
Three appendices develop the theory of ultrapowers, discuss the basic theory of unbounded operators, and provide an alternative approach from that of the main text to the existence of the trace in the basic construction.
The case with an unbounded non-selfadjoint operator as a main operator in a corresponding time invariant system has not been investigated sufficiently because of a number of essential difficulties usually related to unbounded operators (especially non-selfadjoint ones).
Contents: 1 Measures 2 Construction of measures 3 Measure and topology 4 Continuous linear functionals 5 Duality 6 Bounded operators 7 Banach algebras 8 Hilbert spaces 9 Integral representation 10 Unbounded operators Application I Probability Application II Distributions Bibliography Index For more information visit http://www.
 
 
 
Encyclopedia
?

Terms of Use | Privacy policy | Feedback | Advertise with Us | Copyright © 2012 Farlex, Inc.
Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.