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Some matrix transformations of convex and paranormed sequence spaces into the spaces of invariant means. (English) Zbl 1257.40001

Summary: We determine necessary and sufficient conditions to characterize the matrices which transform convex sequences and Maddox sequences into \(V_\sigma(\theta)\) and \(V^\infty_\sigma(\theta)\).

MSC:

40A05 Convergence and divergence of series and sequences
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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