Topics in linear isometries of function algebras: preliminary notes
- Autores: Edoardo Vesentini
- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 24, Nº 2, 2009 (Ejemplar dedicado a: Fourth Advanced Course in Complex Analysis and Operator Theory), págs. 187-218
- Idioma: inglés
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Resumen
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.
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