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.
Authors
- Mehmet Daǧlı (ORCID: https://orcid.org/0000-0003-0215-5711)
Institutions
- Akdeniz University (TR)
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
- Field-Weighted Citation Impact
- 0.00