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On Some Spaces Isomorphic to the Space of Absolutely q-summable Double Sequences

Husamettin Capan|Feyzi Basar
경북대학교 자연과학대학 수학과|2018.06|Kyungpook Mathematical Journal|제58권 제2호|pp. 271-289

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double seriesdouble sequencematrix transformationssummability theorydifference sequence spacealpha-dualbeta-dualmatrix domain of 4-dimensional matrices
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초록

Let 0 < q < 1. In this study, we introduce the spaces BVq and LSq of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix  and summation matrix S in the space Lq of absolutely q-summable double sequences, respectively. Also, we determine their α- and -duals and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q < 1

Abstract

Let 0 < q < 1. In this study, we introduce the spaces BVq and LSq of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix  and summation matrix S in the space Lq of absolutely q-summable double sequences, respectively. Also, we determine their α- and -duals and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q < 1

참고문헌 (18)

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