DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Changsun | ko |
dc.contributor.author | Lee, Keun Young | ko |
dc.date.accessioned | 2008-08-28T05:05:21Z | - |
dc.date.available | 2008-08-28T05:05:21Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.48, no.4, pp.779 - 789 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | http://hdl.handle.net/10203/7224 | - |
dc.description.abstract | In this paper we study the Banach space L(1)(G) of real valued measurable functions which are integrable with respect to a vector measure G in the sense of D. R. Lewis. First, we investigate conditions for a scalarly integrable function f which guarantee f is an element of L(1)(G). Next, we give a sufficient condition for a sequence to converge in L(1)(G). Moreover, for two vector measures F and G with values in the same Banach space, when F can be written as the integral of a function f is an element of L(1)(G), we show that certain properties of G are inherited to F; for instance, relative compactness or convexity of the range of vector measure. Finally, we give some examples of L(1)(G) related to the approximation property. | - |
dc.description.sponsorship | Authors are supported by BK21 project. | en |
dc.language | English | - |
dc.language.iso | en_US | en |
dc.publisher | Korean Mathematical Soc | - |
dc.subject | INTEGRATION | - |
dc.subject | L(1) | - |
dc.title | ON THE LEBESGUE SPACE OF VECTOR MEASURES | - |
dc.type | Article | - |
dc.identifier.wosid | 000293673000010 | - |
dc.identifier.scopusid | 2-s2.0-80051498511 | - |
dc.type.rims | ART | - |
dc.citation.volume | 48 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 779 | - |
dc.citation.endingpage | 789 | - |
dc.citation.publicationname | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.nonIdAuthor | Lee, Keun Young | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Lebesgue space of vector measure | - |
dc.subject.keywordAuthor | convergence in L(1)(G) | - |
dc.subject.keywordAuthor | the range of vector measures | - |
dc.subject.keywordAuthor | Lyapunov convexity theorem | - |
dc.subject.keywordAuthor | the approximation property | - |
dc.subject.keywordPlus | INTEGRATION | - |
dc.subject.keywordPlus | L(1) | - |
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