Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras

This is the second volume of a two-volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras.

The author emphasizes the roles of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras.

Proofs are presented in complete detail at a level accessible to graduate students.

The books will become the standard reference for the general theory of *-algebras.

This second volume deals with *-algebras. Chapter 9 develops the theory of *-algebras without additional restrictions.

Chapter 10 proves nearly all the results previously known for Banach *-algebras and hermitian Banach *-algebras for *-algebras with various essentially algebraic restrictions.

Chapter 11 restates the previous results in terms of Banach *-algebras and uses them to prove results explicitly involving the complete norm.

Chapter 12 is devoted to locally compact groups and the *-algebras related to them.