Strict u-ideals in Banach spaces
Vegard Lima, Åsvald Lima (2009)
Studia Mathematica
Similarity:
We study strict u-ideals in Banach spaces. A Banach space X is a strict u-ideal in its bidual when the canonical decomposition is unconditional. We characterize Banach spaces which are strict u-ideals in their bidual and show that if X is a strict u-ideal in a Banach space Y then X contains c₀. We also show that is not a u-ideal.