{
  "abstract": "Let F be a complete, non-trivially valued, non-Archimedean field of characteristic zero. This paper studies the space V^λ of λ-almost convergent sequences over F and its paranormed generalization V^λ(p), establishing it as a complete non-Archimedean topological vector space for every admissible λ. The classical inclusion c⊂V^λ holds if and only if F has residue characteristic zero and m−λm is unbounded. The matrix class (c,V^λ) is characterized by means of an ultrametric gliding hump argument. The strong almost space [V^,λ] and the almost λ-statistical space s^λ coincide on l∞, yet over Qp this common space is not contained in V^λ, a separation that reflects the arithmetic of the base field.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics and Statistics, University of North Florida, Jacksonville, FL 32224, USA",
    "Faculty of Engeering, Ostim Technical University, 06374 Ankara, Turkey"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Richard F. Patterson",
      "orcid": "0009-0006-8198-3433"
    },
    {
      "affs": [
        1
      ],
      "name": "Ekrem Savaş",
      "orcid": "0000-0003-2135-3094"
    },
    {
      "affs": [
        0
      ],
      "name": "Sami M. Hamid",
      "orcid": "0009-0004-9993-8994"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9bkgkpsb7s4k1.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100752",
  "fulltext_url": null,
  "id": "9bkgkpsb7s4k1",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/752",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2613|Approximation Theory and Sequence Spaces"
    ]
  ],
  "openalex": "W7221133510",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/9bkgkpsb7s4k1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100752",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/752"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2613|Approximation Theory and Sequence Spaces",
      "subfield": "statistics"
    }
  ],
  "title": "Matrix Transformations and Scale Separation in Non-Archimedean λ-Almost Convergent Sequence Spaces",
  "title_text": "Matrix Transformations and Scale Separation in Non-Archimedean λ-Almost Convergent Sequence Spaces",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/9bkgkpsb7s4k1",
  "venue": "Axioms",
  "versions": []
}