dc.contributor.author | Brevig, Ole Fredrik | |
dc.contributor.author | Grepstad, Sigrid | |
dc.date.accessioned | 2023-03-16T09:52:39Z | |
dc.date.available | 2023-03-16T09:52:39Z | |
dc.date.created | 2023-02-25T09:11:23Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | North-Western European Journal of Mathematics. 2023, 9 17-29. | en_US |
dc.identifier.issn | 2496-5170 | |
dc.identifier.uri | https://hdl.handle.net/11250/3058679 | |
dc.description.abstract | Let H be a Hilbert space and (Ω,F ,µ) a probability space. A Hilbert point in L p (Ω;H) is a nontrivial function ϕ such that ∥ϕ∥p ≤ ∥ϕ+f ∥p whenever ⟨f ,ϕ⟩ = 0. We demonstrate that ϕ is a Hilbert point in L p (Ω;H) for some p , 2 if and only if ∥ϕ(ω)∥H assumes only the two values 0 and C > 0. We also obtain a geometric description of when a sum of independent Rademacher variables is a Hilbert point. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Université de Lille, France | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Hilbert points in Hilbert space-valued $L^p$ spaces | en_US |
dc.title.alternative | Hilbert points in Hilbert space-valued $L^p$ spaces | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 17-29 | en_US |
dc.source.volume | 9 | en_US |
dc.source.journal | North-Western European Journal of Mathematics | en_US |
dc.identifier.cristin | 2129146 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |