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Some sequence spaces in 2-normed spaces defined by Musielak-Orlicz function. (English) Zbl 1237.46002

Summary: We introduce some sequence spaces combining lacunary sequences, invariant means in 2-normed spaces defined by Musielak-Orlicz functions \({\mathcal M}=({\mathcal M}_k)\). We study some topological properties and also prove some inclusion results between these spaces.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
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