Blar i Scientific Publications in Mathematical Sciences på forfatter "Dovland, Olav"
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Isometric factorization of vector measures and applications to spaces of integrable functions
Dovland, Olav; Rodriguez, Jose (Peer reviewed; Journal article, 2021)Let X be a Banach space, Σ be a σ-algebra, and be a (countably additive) vector measure. It is a well known consequence of the Davis-Figiel-Johnson-Pełczyński factorization procedure that there exist a reflexive Banach ... -
New applications of extremely regular function spaces
Abrahamsen, Trond Arnold; Dovland, Olav; Poldvere, Mert (Peer reviewed; Journal article, 2019)Let L be an infinite locally compact Hausdorff topological space. We show that extremely regular subspaces of C0(L) have very strong diameter 2 properties and, for every real number ε with 0 <ε<1, contain an ε-isometric ...