Weak orthogonality and weak property () in some Banach sequence spaces
Yunan Cui, Henryk Hudzik, Ryszard Płuciennik (1999)
Czechoslovak Mathematical Journal
Similarity:
It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property () in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.