Injective Tauberian Operators on L1 and Operators with Dense Range on ℓ∞
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© Canadian Mathematical Society 2015. There exist injective Tauberian operators on L 1 (0,1) that have dense, nonclosed range. This gives injective nonsurjective operators on l ∞ that have dense range. Consequently, there are two quasi-complementary noncomplementary subspaces of l ∞ that are isometric to l ∞ .
author list (cited authors)
Johnson, W., Nasseri, A. B., Schechtman, G., & Tkocz, T.