On multiplicative difference sequence spaces and related dual properties

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Kadak U.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.35, no.3, pp.181-193, 2017 (ESCI)

• Publication Type: Article / Article
• Volume: 35 Issue: 3
• Publication Date: 2017
• Doi Number: 10.5269/bspm.v35i3.29182
• Journal Name: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.181-193
• Yozgat Bozok University Affiliated: Yes

Abstract

The main purpose of the present article is to introduce the multiplicative difference sequence spaces of order m by defining the multiplicative difference operator Delta(m)(*)(x(k)) = x(k) x(k+1)(-m) x(k+2)((2m)) x(k+3)(-(3m)) x(k+4)((4m)) ... x(k+m)((-1)m) for all m, k is an element of N. By using the concept of multiplicative linearity some topological properties are investigated and determined their dual spaces via multiplicative infinite matrices.