Weak orthogonality and weak property ( β ) in some Banach sequence spaces

Yunan Cui; Henryk Hudzik; Ryszard Płuciennik

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 2, page 303-316
  • ISSN: 0011-4642

Abstract

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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 ( β ) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.

How to cite

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Cui, Yunan, Hudzik, Henryk, and Płuciennik, Ryszard. "Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces." Czechoslovak Mathematical Journal 49.2 (1999): 303-316. <http://eudml.org/doc/30486>.

@article{Cui1999,
abstract = {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.},
author = {Cui, Yunan, Hudzik, Henryk, Płuciennik, Ryszard},
journal = {Czechoslovak Mathematical Journal},
keywords = {Köthe sequence space; Orlicz sequence space; weak orthogonality; weak property ($\{\mathbf \{\beta \}\}$); Köthe sequence space; Orlicz sequence space; weak orthogonality; weak property (); Luxemburg norm; Orlicz norm},
language = {eng},
number = {2},
pages = {303-316},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces},
url = {http://eudml.org/doc/30486},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Cui, Yunan
AU - Hudzik, Henryk
AU - Płuciennik, Ryszard
TI - Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 2
SP - 303
EP - 316
AB - It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property (${\mathbf {\beta }}$) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.
LA - eng
KW - Köthe sequence space; Orlicz sequence space; weak orthogonality; weak property (${\mathbf {\beta }}$); Köthe sequence space; Orlicz sequence space; weak orthogonality; weak property (); Luxemburg norm; Orlicz norm
UR - http://eudml.org/doc/30486
ER -

References

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