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Two properties of Müntz spaces

Abrahamsen T. A., Leraand A., Martiny A., Nygaard O.

Demonstratio Mathematica

2017

Vol. 50, nr 1

239--244

We show that Müntz spaces, as subspaces of C[0, 1], contain asymptotically isometric copies of c0 and that their dual spaces are octahedral.

Asymptotically isometric copies of c0 in Musielak-Orlicz spaces

Narloch A., Szymaszkiewicz L.

Opuscula Mathematica

2014

Vol. 34, no. 1

161--169

Criteria in order that a Musielak-Orlicz function space Lφ as well as Musielak-Orlicz sequence space lφ contains an asymptotically isometric copy of c0 are given. These results extend some results of [Y.A. Cui, H. Hudzik, G. Lewicki, Order asymptotically isometric copies of c0 in the subspaces of order continuous elements in Orlicz spaces, Journal of Convex Analysis 21 (2014)] to Musielak-Orlicz spaces.