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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 (${\mathbf \beta }$) 
@article{CMJ_1999__49_2_a7,
     author = {Cui, Yunan and Hudzik, Henryk and P{\l}uciennik, Ryszard},
     title = {Weak orthogonality and weak property ($\beta $) in some {Banach} sequence spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {303--316},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {1999},
     mrnumber = {1692465},
     zbl = {0954.46004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999__49_2_a7/}
}
TY  - JOUR
AU  - Cui, Yunan
AU  - Hudzik, Henryk
AU  - Płuciennik, Ryszard
TI  - Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces
JO  - Czechoslovak Mathematical Journal
PY  - 1999
SP  - 303
EP  - 316
VL  - 49
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_1999__49_2_a7/
LA  - en
ID  - CMJ_1999__49_2_a7
ER  - 
%0 Journal Article
%A Cui, Yunan
%A Hudzik, Henryk
%A Płuciennik, Ryszard
%T Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces
%J Czechoslovak Mathematical Journal
%D 1999
%P 303-316
%V 49
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_1999__49_2_a7/
%G en
%F CMJ_1999__49_2_a7
Cui, Yunan; Hudzik, Henryk; Płuciennik, Ryszard. Weak orthogonality and weak property ($\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/