Introduction to Normed *-Algebras and their Representations, 7th ed

TL;DR

This book provides an in-depth introduction to the spectral theory and representation theory of normed *-algebras, including the construction of their enveloping C*-algebras, with a focus on both commutative and general cases.

Contribution

It introduces the construction of the enveloping C*-algebra for general normed *-algebras, a novel feature in the field.

Findings

Spectral theory of Banach *-algebras explained

Representation theory of normed *-algebras detailed

Construction of enveloping C*-algebras presented

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.