Diameter-preserving maps on various classes of function spaces

Bruce A. Barnes, and Ashoke K. Roy. "Diameter-preserving maps on various classes of function spaces." Studia Mathematica 153.2 (2002): 127-145. <http://eudml.org/doc/285047>.

@article{BruceA2002,
abstract = {Under some mild assumptions, non-linear diameter-preserving bijections between (vector-valued) function spaces are characterized with the help of a well-known theorem of Ulam and Mazur. A necessary and sufficient condition for the existence of a diameter-preserving bijection between function spaces in the complex scalar case is derived, and a complete description of such maps is given in several important cases.},
author = {Bruce A. Barnes, Ashoke K. Roy},
journal = {Studia Mathematica},
keywords = {function space; diameter-preserving linear bijection},
language = {eng},
number = {2},
pages = {127-145},
title = {Diameter-preserving maps on various classes of function spaces},
url = {http://eudml.org/doc/285047},
volume = {153},
year = {2002},
}

TY - JOUR
AU - Bruce A. Barnes
AU - Ashoke K. Roy
TI - Diameter-preserving maps on various classes of function spaces
JO - Studia Mathematica
PY - 2002
VL - 153
IS - 2
SP - 127
EP - 145
AB - Under some mild assumptions, non-linear diameter-preserving bijections between (vector-valued) function spaces are characterized with the help of a well-known theorem of Ulam and Mazur. A necessary and sufficient condition for the existence of a diameter-preserving bijection between function spaces in the complex scalar case is derived, and a complete description of such maps is given in several important cases.
LA - eng
KW - function space; diameter-preserving linear bijection
UR - http://eudml.org/doc/285047
ER -