Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "North-Western European Journal of Mathematics"
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Hilbert points in Hilbert space-valued $L^p$ spaces
(Peer reviewed; Journal article, 2023)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 ...