By Theodore W. Palmer
This is often the 1st quantity of a quantity set that offers a contemporary account of uncomplicated Banach algebra thought together with all identified effects on common Banach *-algebras. This account emphasizes the function of *-algebraic constitution and explores the algebraic effects that underlie the idea of Banach algebras and *-algebras. the 1st quantity, which incorporates formerly unpublished effects, is an self reliant, self-contained reference on Banach algebra concept. each one subject is handled within the greatest attention-grabbing generality in the framework of a few type of complicated algebras instead of topological algebras. Proofs are awarded in entire aspect at a degree available to graduate scholars. The booklet includes a wealth of historic reviews, heritage fabric, examples, really in noncommutative harmonic research, and an in depth bibliography. quantity II is coming near near.