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

chapter |24 pages

Ch 1 Beginnings

chapter |30 pages

Ch 3 The Lp Spaces

chapter |42 pages

Ch 5 Rearrangement Invariant Spaces

chapter |36 pages

Ch 6 Banach Algebras