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http://hdl.handle.net/1942/17934
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DC Field | Value | Language |
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dc.contributor.author | EGGHE, Leo | - |
dc.date.accessioned | 2014-12-10T15:10:33Z | - |
dc.date.available | 2014-12-10T15:10:33Z | - |
dc.date.issued | 1978 | - |
dc.identifier.citation | Aron, Richard M.; Dineen, Seán (Ed.). Vector Space Measures and Applications II, p. 77-90 | - |
dc.identifier.isbn | 978-3-540-08669-7 | - |
dc.identifier.issn | 0075-8434 | - |
dc.identifier.uri | http://hdl.handle.net/1942/17934 | - |
dc.description.abstract | We introduce L X 1 (μ), the space of classes of X-valued μ-integrable functions used by Saab, which is an extension of the space of classes of Bochner-integrable functions, in Banach spaces. X denotes here a sequentially complete locally convex space. We give examples of spaces which are dentable, σ-dentable, having the Radon-Nikodym-Property, or having the Bishop-Phelps-Property, by proving some projective limit results. We also prove the following theorem : The following implications are valid : TeX 1.X has the Radon-Nikodym-Property. 2.Every uniformly bounded martingale is L X 1 -convergent. 3.Every uniformly bounded martingale is L X 1 -Cauchy. 4.Every uniformly bounded and finitely generated martingale is L X 1 -Cauchy. 5.X is σ-dentable. So we have the equivalency of (i) through (v) for quasi-complete (BM)-spaces. | - |
dc.language.iso | en | - |
dc.publisher | Springer Berlin Heidelberg | - |
dc.relation.ispartofseries | Lecture Notes in Mathematics | - |
dc.title | On the Radon-Nikodym-Property, and related topics in locally convex spaces | - |
dc.type | Book Section | - |
local.bibliographicCitation.authors | Aron, Richard M. | - |
local.bibliographicCitation.authors | Dineen, Seán | - |
dc.identifier.epage | 90 | - |
dc.identifier.spage | 77 | - |
local.bibliographicCitation.jcat | B2 | - |
local.type.refereed | Refereed | - |
local.type.specified | Book Section | - |
local.relation.ispartofseriesnr | 645 | - |
dc.identifier.doi | 10.1007/BFb0069664 | - |
local.bibliographicCitation.btitle | Vector Space Measures and Applications II | - |
item.fullcitation | EGGHE, Leo (1978) On the Radon-Nikodym-Property, and related topics in locally convex spaces. In: Aron, Richard M.; Dineen, Seán (Ed.). Vector Space Measures and Applications II, p. 77-90. | - |
item.accessRights | Closed Access | - |
item.fulltext | No Fulltext | - |
item.contributor | EGGHE, Leo | - |
Appears in Collections: | Research publications |
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