SOME FUNDAMENTAL PROPERTIES OF BANACH SPACES lp (BC (N)) WITH.... THE ∗−NORM (Equation Presented)

Değirmen N., Sağir B.

Transactions of A. Razmadze Mathematical Institute, vol.176, no.2, pp.183-195, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 176 Issue: 2
  • Publication Date: 2022
  • Journal Name: Transactions of A. Razmadze Mathematical Institute
  • Journal Indexes: Scopus
  • Page Numbers: pp.183-195
  • Keywords: Geometric property, Topological property, ∗−bicomplex sequence space, ∗−calculus, ∗−norm
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we define non-Newtonian bicomplex versions of some known topological properties of sequence spaces and also, we introduce these new topological and geometric properties of ∗−bicomplex sequence spaces lp (BC (N)) for 0 <.. p ≤ ∞. Our obtained results extend some existing facts in the literature.