Geodesic
Orthogonal elements in nonseparable rearrangement invariant spaces
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 5-7 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $E$ be a nonseparable rearrangement invariant space, and let $E_0$ denote the closure of the set of all bounded functions in $E$. We study elements of $E$ orthogonal to the subspace $E_0$, i.e., elements $x\in E$ such that $\|x\|_E\le\|x+y\|_E$ for any $y\in E_0$.
Keywords: nonseparable Banach space, rearrangement invariant space, Orlicz space
Mots-clés : Marcinkiewicz space, orthogonal elements. 
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S. V. Astashkin; E. M. Semenov. Orthogonal elements in nonseparable rearrangement invariant spaces. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 5-7. http://geodesic.mathdoc.fr/item/DANMA_2020_495_a0/

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