Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric

Fleming, Richard J.; Jamison, James E.

Beginnings. Continuous Function Spaces--The Banach-Stone Theorem. The L(p) Spaces. Isometries of Spaces of Analytic Functions. Rearrangement Invariant Spaces. Banach Algebras. Bibliography. Index.