1. Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces Creator: Cui, Yunan, Hudzik, Henryk, and Płuciennik, Ryszard Format: bez média and svazek Type: model:article and TEXT Subject: Köthe sequence space, Orlicz sequence space, weak orthogonality, and weak property (${\mathbf \beta }$) Language: English Description: It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property (${\mathbf \beta }$) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public