What question did this study set out to answer?

The aim is to explore new sequence spaces defined by the Bell matrix and identify their properties.

July 30, 2026Journal of Applied Analysis

On the Bell matrix operator in sequence spaces c and c ₀

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The aim is to explore new sequence spaces defined by the Bell matrix and identify their properties.
Introduced new sequence spaces using the Bell matrix operator.
Determined the Köthe–Toeplitz duals for these new spaces.
Established a Schauder basis and analyzed operator classes related to these spaces.
New sequence spaces show distinct properties under the Bell matrix operator.
Köthe–Toeplitz duals were successfully identified for the introduced sequence spaces.
Relevant operator classes demonstrated significant actions on the established spaces.

Implication

New sequence spaces introduced via Bell matrix, determining Köthe–Toeplitz duals in this context.

Abstract

In this work, new sequence spaces are introduced via the recently formulated Bell matrix, their Köthe–Toeplitz duals are determined, and a corresponding Schauder basis is established. In addition, various operator classes acting on these spaces are examined.

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Cite This Study

Karakaş et al. (2026) studied this question.

synapsesocial.com/papers/6a6af51f60e2b924d3ea0d56 https://doi.org/10.1515/jaa-2026-0044

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Implication

New sequence spaces introduced via Bell matrix, determining Köthe–Toeplitz duals in this context.

On the Bell matrix operator in sequence spaces c and c ₀

Key Points

Implication

Abstract

Discussion

Cite This Study

On the Bell matrix operator in sequence spaces c and c ₀

Key Points

Implication

Abstract

Discussion

Cite This Study

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