One-Complemented Subspaces in Musielak-Orlicz Sequence Spaces with a General Smoothness Condition

The aim of this article is to obtain a characterization (in the spirit of Jamison-Kamińska-Lewicki) of one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition. The result obtained is an important extension of the Ja...

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Bibliographic Details
Published in:Numerical functional analysis and optimization 2013-09, Vol.34 (9), p.1001-1032
Main Author: Denkowska, Anna
Format: Article
Language:English
Subjects:
Functional analysis
Mathematical analysis
Mathematical models
Minimal projections
Musielak-Orlicz sequence spaces
One-complemented subspaces
Optimization
Smoothness
Subspaces
Theorems
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Summary:The aim of this article is to obtain a characterization (in the spirit of Jamison-Kamińska-Lewicki) of one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition. The result obtained is an important extension of the Jamison-Kamińska-Lewicki Theorem. Some applications are also discussed.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2013.775591