Some Banach algebra structures for l^p({\beta}) and their operators

TL;DR

This paper explores Banach algebra structures on l^p({eta}) spaces by analyzing the generalized Duhamel product, providing new characterizations of these algebraic frameworks.

Contribution

It introduces and characterizes specific Banach algebra structures on l^p({eta}) using the generalized Duhamel product, expanding understanding of operator algebra frameworks.

Findings

Characterization of Banach algebra structures on l^p({eta})

Introduction of the generalized Duhamel product in this context

New insights into operator algebra frameworks for l^p({eta})

Abstract

In this paper we consider the generalized Duhamel product ~ on l^p({\beta}) and characterize some Banach algebra structures for l^p({\beta}).