TY - JOUR
A2 - Hudzik, Henryk
AU - Hashemi, M. S.
AU - Honary, T. G.
AU - Najafi Tavani, M.
PY - 2012
DA - 2012/12/27
TI - Biseparating Maps on Fréchet Function Algebras
SP - 947080
VL - 2012
AB - Let A and B be strongly regular normal Fréchet function algebras on compact Hausdorff spaces X and Y, respectively, such that the evaluation homomorphisms are continuous on A and B. Then, every biseparating map T:A→B is a weighted composition operator of the form Tf=h·(f∘φ), where φ is a homeomorphism from Y onto X and h is a nonvanishing element of B. In particular, T is automatically continuous.
SN - 2314-8896
UR - https://doi.org/10.1155/2012/947080
DO - 10.1155/2012/947080
JF - Journal of Function Spaces and Applications
PB - Hindawi Publishing Corporation
KW -
ER -