Proceedings of the Edinburgh Mathematical Society

Table of Contents - - Volume , Issue 03  

Research Article

Metric and algebraic perturbations of function algebras

Krzysztof Jarosza1

a1 Institute of Mathematics Warsaw University Warsaw, Poland

Let A and B be function algebras. We generalise the Nagasawa theorem by proving that the Banach–Mazur distance between the underlying Banach spaces of A and B, is close to one if and only if they are almost isomorphic, that is if and only if there is a linear map T from A onto B such that xs2225T−1(Tf · Tg)−fgxs2225≦εxs2225fxs2225xs2225gxs2225.

(Received September 27 1982)