Unbounded C$^*$-seminorms and $*$-Representations of Partial *-Algebras

TL;DR

This paper develops a framework for constructing *-representations from unbounded C*-seminorms on partial *-algebras, advancing the understanding of their structure and representation theory.

Contribution

It introduces a method to derive *-representations from unbounded C*-seminorms on partial *-algebras, a novel approach in the field.

Findings

Established a construction method for *-representations from unbounded C*-seminorms.

Analyzed properties of *-representations derived from these seminorms.

Enhanced the theoretical understanding of partial *-algebras and their representations.

Abstract

The main purpose of this paper is to construct *-representations from unbounded C$^*$-seminorms on partial *-algebras and to investigate their *-representations.