Introduction to Normed *-Algebras and their Representations, 6th ed

TL;DR

This book provides a comprehensive introduction to the spectral theory and representation of normed *-algebras, including a novel construction of their enveloping C*-algebras, aimed at advanced mathematical study.

Contribution

It introduces a new method for constructing the enveloping C*-algebra of a general normed *-algebra, enhancing understanding of their spectral and representation theory.

Findings

Spectral theory of Banach *-algebras explained

Representation theory of normed *-algebras detailed

Construction of enveloping C*-algebra introduced

Abstract

This book treats: - spectral theory of Banach *-algebras, - basic representation theory of normed *-algebras, - spectral theory of representations of commutative *-algebras. A novel feature of the book is the construction of the enveloping C*-algebra of a general normed *-algebra.