Abstract
In this article we introduce the vector valued paranormed sequence spaces \({}_2\overline c (q,p), {}_2\overline c _0 (q,p), ({}_2\overline c )^B (q,p), ({}_2\overline c _0 )^B (q,p), ({}_2\overline c )^R (q,p)\) and \(({}_2\overline c _0 )^R (q,p)\) defined over a seminormed space (X,q). We study their different properties like completeness, solidness, symmetry, convergence freeness etc. We prove some inclusion results.
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Communicated by Pavel Kostyrko
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Tripathy, B.C., Sarma, B. Vector valued paranormed statistically convergent double sequence spaces. Math. Slovaca 57, 179–188 (2007). https://doi.org/10.2478/s12175-007-0008-5
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DOI: https://doi.org/10.2478/s12175-007-0008-5