Injective Tauberian Operators on L1 and Operators with Dense Range on ℓ∞ Academic Article uri icon


  • Abstract.There exist injective Tauberian operators on L1(0, 1) that have dense, nonclosed range. This gives injective nonsurjective operators on that have dense range. Consequently, there are two quasi-complementary noncomplementary subspaces of that are isometric to .

published proceedings

  • Canadian Mathematical Bulletin

author list (cited authors)

  • Johnson, W., Bahman Nasseri, A., Schechtman, G., & Tkocz, T.

citation count

  • 4

complete list of authors

  • Johnson, William||Bahman Nasseri, Amir||Schechtman, Gideon||Tkocz, Tomasz

publication date

  • June 2015