Geodesic
Injective Tauberian Operators on L1 and Operators with Dense Range on l∞
Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 276-280

Voir la notice de l'article provenant de la source Cambridge University Press

There exist injective Tauberian operators on ${{L}_{1}}\left( 0,\,1 \right)$ that have dense, nonclosed range. This gives injective nonsurjective operators on ${{\ell }_{\infty }}$ that have dense range. Consequently, there are two quasi-complementary noncomplementary subspaces of ${{\ell }_{\infty }}$ that are isometric to ${{\ell }_{\infty }}$ .
DOI : 10.4153/CMB-2014-054-5
Mots-clés : 46E30, 46B08, 47A53, L1, Tauberian operator, l∞ 
Johnson, William; Nasseri, Amir Bahman; Schechtman, Gideon; Tkocz, Tomasz. Injective Tauberian Operators on L1 and Operators with Dense Range on l∞. Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 276-280. doi: 10.4153/CMB-2014-054-5
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