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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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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description 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.
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source Taylor and Francis:Jisc Collections:Taylor and Francis Read and Publish Agreement 2024-2025:Science and Technology Collection (Reading list)
subjects Functional analysis
Mathematical analysis
Mathematical models
Minimal projections
Musielak-Orlicz sequence spaces
One-complemented subspaces
Optimization
Smoothness
Subspaces
Theorems
title One-Complemented Subspaces in Musielak-Orlicz Sequence Spaces with a General Smoothness Condition
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