SOME FUNDAMENTAL PROPERTIES OF BANACH SPACES l(p) (BC (N)) WITH THE *-NORM (sic)center dot(sic)(2),(lp(BC(N)))

Değirmen N., Sağır Duyar B.

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, vol.176, no.2, pp.183-195, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 176 Issue: 2
  • Publication Date: 2022
  • Journal Name: TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.183-195
  • Keywords: *-calculus, *-bicomplex sequence space, *-norm, Geometric property, Topological property
  • 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 l(p) (BC (N)) for (sic) (sic) p (sic) <= infinity. Our obtained results extend some existing facts in the literature.