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Keywords:
Köthe sequence space; Orlicz sequence space; weak orthogonality; weak property (${\mathbf \beta }$)
Köthe sequence space; Orlicz sequence space; weak orthogonality; weak property (${\mathbf \beta }$)
Summary:
It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property (${\mathbf \beta }$) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.
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