A note on a construction of J. F. Feinstein

@article{M2005,
abstract = {In [6] J. F. Feinstein constructed a compact plane set X such that R(X), the uniform closure of the algebra of rational functions with poles off X, has no non-zero, bounded point derivations but is not weakly amenable. In the same paper he gave an example of a separable uniform algebra A such that every point in the character space of A is a peak point but A is not weakly amenable. We show that it is possible to modify the construction in order to produce examples which are also regular.},
author = {M. J. Heath},
journal = {Studia Mathematica},
keywords = {uniform algebra; peak point; regular algebra; weak amenability; derivations; rational approximation},
language = {eng},
number = {1},
pages = {63-70},
title = {A note on a construction of J. F. Feinstein},
url = {http://eudml.org/doc/285110},
volume = {169},
year = {2005},
}

TY - JOUR
AU - M. J. Heath
TI - A note on a construction of J. F. Feinstein
JO - Studia Mathematica
PY - 2005
VL - 169
IS - 1
SP - 63
EP - 70
AB - In [6] J. F. Feinstein constructed a compact plane set X such that R(X), the uniform closure of the algebra of rational functions with poles off X, has no non-zero, bounded point derivations but is not weakly amenable. In the same paper he gave an example of a separable uniform algebra A such that every point in the character space of A is a peak point but A is not weakly amenable. We show that it is possible to modify the construction in order to produce examples which are also regular.
LA - eng
KW - uniform algebra; peak point; regular algebra; weak amenability; derivations; rational approximation
UR - http://eudml.org/doc/285110
ER -