The interplay between representable functionals and derivations on Banach quasi *-algebras

TL;DR

This paper explores the relationship between representable functionals and derivations on Banach quasi *-algebras, emphasizing their structural significance and applications in quantum models.

Contribution

It highlights the connection between representable functionals and derivations on Banach quasi *-algebras, extending previous investigations into their structural and quantum model applications.

Findings

Established links between representable functionals and derivations.

Enhanced understanding of Banach quasi *-algebra structure.

Implications for quantum model applications.

Abstract

This note aims to highlight the link between representable functionals and derivations on a Banach quasi *-algebra, i.e. a mathematical structure that can be seen as the completion of a normed *-algebra in the case the multiplication is only separately continuous. Representable functionals and derivations have been investigated in previous papers for their importance concerning the study of the structure properties of a Banach quasi *-algebra and applications to quantum models.