The integration on the symmetric t-approach : A Banach algebra

Neamah, Maysoon A.

doi:10.47974/JIM-2557

Open Access Research Article

The integration on the symmetric t-approach : A Banach algebra

^*Maysoon A. NeamahCorresponding authormaysoon.azeez@ec.edu.iqDepartment of MathematicsFaculty of Open EducationGeneral Directorate of Education NajafNajaf, Iraqhttps://orcid.org/0000-0002-9691-3001View full profile →

* Corresponding author · click or hover a name for details

pp. 1645–1653Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2557XML

Received:: 01 Nov 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2557
Pages:: 1645–1653

Abstract

This study aims to establish novel analytical findings concerning a class of Δ-symmetric Banach algebra structures. In this context, the space of continuous functions is rigorously demonstrated to possess both the Δ-symmetric property and the Banach algebra framework. Furthermore, the measurable function space is examined, where its compatibility with the Δ-symmetric structure and Banach algebra operations is analyzed and confirmed under appropriate conditions. In addition, a new functional space is constructed based on the interaction between the underlying Δ-symmetry and the algebraic structure of the considered spaces. The proposed space is shown to satisfy the defining requirements of a Δ-symmetric Banach algebra. Several original properties and auxiliary results are derived, providing further insight into the behavior of these spaces and expanding the theoretical understanding of Δ-symmetric Banach algebra systems.

Keywords

tω-approach space tω-contraction tω-approach group tω-Δ-approach normed tω-Δ-symmetric Banach algebra

Subject Classifications

46BXX46EXX

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