D-Topological Duals of Bicomplex BC-Modules <i>l<sub>p</sub></i><SUP>k</SUP> (BC)

Değirmen N., Sagir B.

JOURNAL OF MATHEMATICAL EXTENSION, no.10, 2022 (ESCI)

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.30495/jme.2022.1922
  • Journal Name: JOURNAL OF MATHEMATICAL EXTENSION
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Keywords: D-topological dual, bicomplex BC-module, D-solid space, D-monotone space, D-normed BK-space, D-symmetric space, SPACES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we present the concept of D-topological dual of a BC-module X with a D-norm parallel to.parallel to(D,X) and we find D-topological duals of D-normed bicomplex BC-modules l(p)(k) (BC) for 1 <= p <= infinity. We also investigate some fundamental topological properties of bicomplex BC-modules l(p)(k) (BC) by defining some topological concepts such as solid space, monotone space, BK-space, symmetric space in the bicomplex setting by using the D-norm vertical bar.vertical bar(k).