Bicomplex Version of Matrix Transformations Between c0kBC and ckBC by Using the Hyperbolic-Valued Norm

Sağır Duyar B., GÜNGÖR N., Duyar C.

Iranian Journal of Science, cilt.49, sa.2, ss.439-447, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s40995-024-01737-2
  • Dergi Adı: Iranian Journal of Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.439-447
  • Anahtar Kelimeler: Bicomplex numbers, Hyperbolic numbers, Matrix transformations, Sequence spaces
  • Samsun Üniversitesi Adresli: Evet

Özet

This paper presents the characterizations of bicomplex matrix transformations between c0kBC and ckBC generalizing several conclusions from complex version of these matrices. Moreover, we define and demonstrate their bicomplex counterparts utilizing the Silverman-Toeplitz and Kojima-Schur theorems.