A novel paranormed sequence space derived by Schröder conservative matrix

In this paper, we offer a new paranormed sequence space $\ell(\tilde{S},p)$ by utilizing the Schröder conservative matrix and show that this new space is linearly isomorphic to $\ell(p).$ Moreover, we give its Schauder basis and determine some special duals such as $\alpha$-, $\beta$-, $\gamma$-duals.

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Publication Details

Journal
Carpathian Mathematical Publications
Published
2025-06-22
DOI
https://doi.org/10.15330/cmp.17.1.235-245
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

A novel paranormed sequence space derived by Schröder conservative matrix

Mehmet Daǧlı
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Carpathian Mathematical Publications
Approximation Theory and Sequence Spaces
article

A novel paranormed sequence space derived by Schröder conservative matrix

Mehmet Daǧlı
article en

Abstract

In this paper, we offer a new paranormed sequence space $\ell(\tilde{S},p)$ by utilizing the Schröder conservative matrix and show that this new space is linearly isomorphic to $\ell(p).$ Moreover, we give its Schauder basis and determine some special duals such as $\alpha$-, $\beta$-, $\gamma$-duals.

Carpathian Mathematical PublicationsVol. 17(1)
Akdeniz University (TR)
Openalex Percentile: Top 86%
Approximation Theory and Sequence Spaces
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A novel paranormed sequence space derived by Schröder conservative matrix — Mehmet Daǧlı · Carpathian Mathematical Publications (2025) | TGRS Research Map | TGRS