Lipschitz Algebras

This is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions. Every functional analyst should have some knowledge of this subject.

Contents:

• Lipschitz Functions
• Lipschitz Spaces and Their Preduals
• Little Lipschitz Spaces
• Banach Space Geometry
• Lipschitz Lattices
• Lipschitz Algebras
• Measurable Metrics
• The Exterior Derivative
• Derivations
• Quantum Metrics

Readership: Graduate students and specialists in functional analysis.
Key Features:

• The only in-depth treatment of a topic of wide and growing interest. Since the publication of the first edition 16 years ago, Lipschitz algebras have emerged as a centrally important tool in a range of current research areas
• Not only is the author responsible for large parts of the basic theory of these algebras, he has also been deeply involved in recent developments which apply this theory in other areas
• The book is clearly and carefully written, with a wealth of examples which illuminate the abstract theory