BICOMPLEX MATRIX TRANSFORMATIONS BETWEEN c0 AND c IN BICOMPLEX SETTING

Sağır Duyar B., Değirmen N., Duyar C.

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol.2023, no.4, pp.115-128, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2023 Issue: 4
  • Publication Date: 2023
  • Journal Name: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.115-128
  • Keywords: bicomplex numbers, Bℂ−linear operator, Matrix transformations, sequence spaces
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we give the characterizations of bicomplex matrix transformations between c0 (Bℂ) and c (Bℂ) extending some results in complex versions of them. Also, we state and prove their bicomplex counterparts utilizing Silverman-Toeplitz theorem and Kojima-Schur theorem.