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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the dual of Orlicz-Lorentz space


Authors: H. Hudzik, A. Kaminska and M. Mastylo
Journal: Proc. Amer. Math. Soc. 130 (2002), 1645-1654
MSC (1991): Primary 46B10, 46E30
Published electronically: January 25, 2002
MathSciNet review: 1887011
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Abstract: A description of the Köthe dual of the Orlicz-Lorentz space $\Lambda_{\varphi, w}$ generated by an Orlicz function $\varphi$ and a regular weight function $w$ is presented. It is also shown that in the case of separable Orlicz-Lorentz spaces the regularity condition on $w$ is necessary and sufficient for the coincidence of the Banach dual space with the described Köthe dual space.


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Additional Information

H. Hudzik
Affiliation: Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland and Institute of Mathematics, Poznań University of Technology, Piotrowo 3a, 60-965 Poznań, Poland
Email: hudzik@amu.edu.pl

A. Kaminska
Affiliation: Department of Mathematical Sciences, The University of Memphis, Memphis, Tennessee 38152
Email: kaminska@memphis.edu

M. Mastylo
Affiliation: Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
Email: mastylo@amu.edu.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-02-05997-X
PII: S 0002-9939(02)05997-X
Received by editor(s): September 24, 1999
Received by editor(s) in revised form: April 20, 2000
Published electronically: January 25, 2002
Additional Notes: The research of the second and third authors was supported by NATO Collaborative Grant CRG 972918
Communicated by: Dale Alspach
Article copyright: © Copyright 2002 American Mathematical Society