Banach Algebras and the General Theory of *-Algebras - Volume I: Algebras and Banach Algebras & Volume II: *-Algebras, 2 Volume Set (Signed)
New York: Cambridge University Press, 1994 / 2001.
Paperback (I) and Hardcover (II).
Two volume set. Both volumes with presentation inscriptions signed by the author on the title page. Volume I, originally published in 1994, is a paperback issue published in 2009. Volume II is a First Edition published in 2001.
A modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. Proofs are presented in detail. The set contains historical comments, background material, examples, and an extensive bibliography.
The first volume is an independent, self-contained reference on Banach algebra theory. Each topic is treated within the framework of some class of complex algebra rather than topological algebras.
The second volume deals with *-algebras. Chapter 9 develops the theory of *-algebras without additional restrictions. Chapter 10 proves nearly all of 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 “-algebras related to them. Their classification in terms of properties shared by compact and abelian groups is explored in detail.
Item #902236ISBN: 0521366372/0521366380
Volume I – 6 x 9”, stiff red wrappers printed in white, xii, 794pp, bibliography, index.
Volume II – 6-1/4 x 9-1/2”, gilt titled red cloth, xii, 795-1617pp, bibliography, index, symbol index.
Two volume set. Both volumes clean of owner’s marks. Condition of Volume I - spine crease and light rubbing to wrappers, near fine overall. Condition of Volume II – thick black remainder mark and a bit of faint staining top-edge of leaves, else near fine in lightly rubbed dust wrapper with a faint scratch to rear panel, in protective mylar.
Price: $300.00