Resumen de Topics in linear isometries of function algebras: preliminary notes

Edoardo Vesentini

• After a brief presentation of Banach-Stone's and Kahane-Zelazko's results on weighted composition operators, the attention is concentrated on the iteration of surjec- tive and non-surjective linear isometries acting on complex Banach algebras. Appealing to results by Grothendieck, Bourgain and Lotz, the set of iterates is replaced by a strongly continuous semigroup of linear isometries.