CRC - LEM0643
Isometries on Banach Spaces : function spaces
active, Most Current
| Organization: | CRC |
| Publication Date: | 23 December 2002 |
| Status: | active |
| Page Count: | 209 |
scope:
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 space must transform a continuous function x into a continuous function y satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and
Document History
LEM0643
December 23, 2002
Isometries on Banach Spaces : function spaces
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...