On Certain Sequence Spaces

1981/06/01 by H. Kizmaz, Hüsnü Kizmaz · 16 citations
Mathematics · Engineering · #Approximation Theory and Sequence Spaces #graph theory and CDMA systems #Advanced Banach Space Theory

paper · pdf · doi:10.4153/cmb-1981-027-5

Abstract

Abstract In this paper define the spaces l ∞ (Δ), c(Δ), and c 0 (Δ), where for instance l ∞ (Δ) = x=(x k ):sup k |x k -x k + l |< ∞ , and compute their duals (continuous dual, α-dual, β-dual and γ-dual). We also determine necessary and sufficient conditions for a matrix A to map l ∞ (Δ) or c(Δ) into l ∞ or c , and investigate related questions.

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• Difference Sequence Spaces Derived by Generalized Weighted Mean
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• Generalized Geometric Difference Sequence Spaces and its duals
• On some new difference sequence spaces of fractional order
• On The Spaces of Fibonacci Difference Null and Convergent Sequences
• I-convergent triple difference sequence spaces defined by a sequence of modulus function
• Some normed binomial difference sequence spaces related to the [Formula: see text] spaces. [europepmc]
• On some binomial [Formula: see text]-difference sequence spaces. [europepmc]
• Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces. [europepmc]
• Binomial difference sequence spaces of fractional order. [europepmc]
• Seminormed double sequence spaces of four-dimensional matrix and Musielak-Orlicz function. [europepmc]
• Bessel statistical convergence: New concepts and applications in sequence theory. [europepmc]

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