Lipschitz Algebras

The Lipschitz algebras Lip(M), for M a complete metric space, are quite analagous to the spaces C(W) and LY(X), for W a compact Hausdorff space and X a s-finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better known cousins, it is becoming increasingly clear that they play a fundamental role in functional analysis, and are also useful in many applications, especially in the direction of metric geometry. This book gives a comprehensive treatment of the theory of these algebras.