Constructing non-compact operators into c₀
Iryna Banakh, Taras Banakh (2010)
Studia Mathematica
Similarity:
We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.