Isometries on Banach Spaces
Author | : Richard J. Fleming |
Publisher | : CRC Press |
Total Pages | : 209 |
Release | : 2002-12-23 |
ISBN-10 | : 9781420026153 |
ISBN-13 | : 1420026151 |
Rating | : 4/5 (53 Downloads) |
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