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On some geometric properties of sequence space defined by de la Vallée-Poussin mean. (English) Zbl 1236.46013

Summary: We investigate \(k\)-nearly uniformly convex \((k\)-NUC) and the uniform Opial properties of the sequence space defined by the de la Vallée-Poussin mean. Also we give some corollaries concerning the geometrical properties of this space.

MSC:

46B20 Geometry and structure of normed linear spaces
46B45 Banach sequence spaces
46A45 Sequence spaces (including Köthe sequence spaces)
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