Opuscula Math. 34, no. 1 (2014), 161-169
Asymptotically isometric copies of c<sub>0</sub> in Musielak-Orlicz spaces
Agata Narloch
Lucjan Szymaszkiewicz
Abstract.
Criteria in order that a Musielak-Orlicz function space \(L^\Phi\) as well as Musielak-Orlicz sequence space \(l^\Phi\) contains an asymptotically isometric copy of \(c_0\) are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki, Order asymptotically isometric copies of \(c_0\) in the subspaces of order continuous elements in Orlicz spaces, Journal of Convex Analysis 21 (2014)] to Musielak-Orlicz spaces.
Keywords:
Musielak-Orlicz space, Luxemburg norm, condition \(\Delta_2\), asymptotically isometric copy of \(c_0\).
Mathematics Subject Classification:
46E30.
About the authors ▼
Agata Narloch
University of Szczecin, Institute of Mathematics, Wielkopolska 15, 70-451 Szczecin, Poland
Lucjan Szymaszkiewicz
University of Szczecin, Institute of Mathematics, Wielkopolska 15, 70-451 Szczecin, Poland
About the article ▼
Received: 2013-07-19.
Revised: 2013-08-13.
Accepted: 2013-08-13.
Cite this article as ▼
Agata Narloch, Lucjan Szymaszkiewicz, Asymptotically isometric copies of c<sub>0</sub> in Musielak-Orlicz spaces, Opuscula Math. 34, no. 1 (2014), 161-169,
http://dx.doi.org/10.7494/OpMath.2014.34.1.161.
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