A note on Köthe–Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers

Değirmen N., Sağır Duyar B.

JOURNAL OF APPLIED ANALYSIS, cilt.30, sa.2, ss.301-310, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/jaa-2023-0123
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, ABI/INFORM, zbMATH
  • Sayfa Sayıları: ss.301-310
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we generalize the notions of the K & ouml;the-Toeplitz duals of sequence spaces by introducing the concepts of bicomplex alpha-dual, bicomplex beta-dual and bicomplex gamma-dual, and also we compute them for some bicomplex sequence spaces l(p)(BC) for 1 <= p <= infinity, c(0)(BC) and c(BC). Furthermore, we define a concept of bicomplex multiplier space as the bicomplex version of multiplier space of two sequence spaces and support this definition with examples.