A note on a construction of J. F. Feinstein
Studia Mathematica, Tome 169 (2005) no. 1, pp. 63-70
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In \cite{F}
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.
Keywords:
cite feinstein constructed compact plane set uniform closure algebra rational functions poles off has non zero bounded point derivations weakly amenable paper gave example separable uniform algebra every point character space peak point weakly amenable possible modify construction order produce examples which regular
Affiliations des auteurs :
M. J. Heath 1
@article{10_4064_sm169_1_4,
author = {M. J. Heath},
title = {A note on a construction of {J.} {F.} {Feinstein}},
journal = {Studia Mathematica},
pages = {63--70},
publisher = {mathdoc},
volume = {169},
number = {1},
year = {2005},
doi = {10.4064/sm169-1-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm169-1-4/}
}
M. J. Heath. A note on a construction of J. F. Feinstein. Studia Mathematica, Tome 169 (2005) no. 1, pp. 63-70. doi: 10.4064/sm169-1-4
Cité par Sources :