Isometries In Banach Spaces

Download or read book Isometries on Banach Spaces written by Richard J. Fleming and published by CRC Press. This book was released on 2002-12-23 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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