On the Characterizations of Bicomplex Matrix Transformations on Induced by Idempotent Decomposition
Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s40010-026-01059-5
- Dergi Adı: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, INSPEC, MathSciNet, zbMATH, Technology Collection (ProQuest)
- Anahtar Kelimeler: -linear operator, Bicomplex sequence spaces, Idempotent representation, Matrix transformation, Schur’s theorem
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
This study characterizes the bicomplex matrix transformations and. Using the idempotent representation, we decompose bicomplex modules into complex components to establish necessary and sufficient conditions for these transformations. We present the -Schur theorem as a bicomplex analogue of the classical version and introduce the concept of -characteristic to examine the properties of -regular matrices. The results, supported by bicomplex Minkowski and Hölder inequalities, identify how structural constraints in the bicomplex setting modify classical summability conditions.