Geodesic
Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 303-316

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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.
Classification : 46A45, 46B10, 46B20, 46B45, 46E30, 46E40
Keywords: Köthe sequence space; Orlicz sequence space; weak orthogonality; weak property (${\mathbf \beta }$) 
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     author = {Cui, Yunan and Hudzik, Henryk and P{\l}uciennik, Ryszard},
     title = {Weak orthogonality and weak property ($\beta $) in some {Banach} sequence spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {303--316},
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     zbl = {0954.46004},
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Cui, Yunan; Hudzik, Henryk; Płuciennik, Ryszard. Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 303-316. http://geodesic.mathdoc.fr/item/CMJ_1999__49_2_a7/