Opuscula Math. 34, no. 1 (2014), 161-169

Opuscula Mathematica

Asymptotically isometric copies of c0 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.

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Cite this article as:
Agata Narloch, Lucjan Szymaszkiewicz, Asymptotically isometric copies of c0 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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