
On the dual of Orlicz–Lorentz space
Author(s) -
Henryk Hudzik,
Anna Kamińska,
Mieczysław Mastyło
Publication year - 2002
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-02-05997-x
Subject(s) - algorithm , annotation , type (biology) , computer science , artificial intelligence , mathematics , geology , paleontology
A description of the Köthe dual of the Orlicz–Lorentz space Λ φ , w \Lambda _{\varphi , w} generated by an Orlicz function φ \varphi and a regular weight function w w is presented. It is also shown that in the case of separable Orlicz–Lorentz spaces the regularity condition on w w is necessary and sufficient for the coincidence of the Banach dual space with the described Köthe dual space.