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On the Riesz difference sequence space

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Abstract

In the present paper, we define the difference sequence space r q(p, Δ), which is defined as follows:

$$ r^q (p,\Delta ) = \{ x = (x_k ):(\Delta x_k ) \in r^q (p)\} $$

where r q(p) is the Riesz sequence space given by Altay and Basşar. We give some topological properties and compute the α-, β- duals of this space.

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Authors and Affiliations

  1. Sakarya University, Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey

    Metin Başarır

  2. Department of Mathematics, Sakarya University, 54187, Sakarya, Turkey

    Mahpeyker Öztürk

Authors
  1. Metin Başarır
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  2. Mahpeyker Öztürk
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Correspondence to Metin Başarır.

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Başarır, M., Öztürk, M. On the Riesz difference sequence space. Rend. Circ. Mat. Palermo 57, 377–389 (2008). https://doi.org/10.1007/s12215-008-0027-2

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  • DOI: https://doi.org/10.1007/s12215-008-0027-2

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