Abstract
In this paper, we discuss some basic properties of the Orlicz-Bochner sequence space l M (X) and its subspace h M (X). We present the equivalent definition of h M (X), the sufficient and necessary conditions under which l (M)(X) is complete, and l M (X) and h M (X) are separable respectively, and also give the sufficient condition that h M (X) has a basis. All these results generalize the results for the classical Orlicz sequence spaces.
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Zhang, P., Shi, Zr. & Liu, YX. Some notes on orlicz-bochner sequence spaces. J. of Shanghai Univ. 9, 25–28 (2005). https://doi.org/10.1007/s11741-005-0099-6
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DOI: https://doi.org/10.1007/s11741-005-0099-6