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

Değirmen N., Sağır Duyar B.

JOURNAL OF APPLIED ANALYSIS, vol.30, no.2, pp.301-310, 2024 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.1515/jaa-2023-0123
  • Journal Name: JOURNAL OF APPLIED ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, ABI/INFORM, zbMATH
  • Page Numbers: pp.301-310
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.