Soft Banach Algebra: Theory and Applications

Abstract

Soft Banach Algebras represent a fascinating extension of traditional Banach

Algebras, providing a versatile mathematical framework for studying algebraic

properties in various applied contexts. This paper offers an overview of key

concepts in Soft Banach Algebra theory and explores their fundamental

applications.

The exposition begins by introducing the definition and general characteristics of

Soft Banach Algebras, highlighting the principal distinctions from conventional

Banach Algebras. The paper proceeds to delve into the essential properties of Soft

Banach Algebras and demonstrates their applicability in differential and integral

calculus.

 Furthermore, the paper showcases practical examples and applications of Soft

Banach Algebras in fields such as number theory and mathematical physics. This

section emphasizes how Soft Banach Algebras can be leveraged to solve practical

problems across diverse domains