Abstract
Let D be a bounded convex domain in a complex Banach space, and let F be a holomorphic self-mapping of D with a nonempty fixed point set. In this paper we study the flow generated by the mapping I — F on D, and use the asymptotic behavior of its Cesàro averages to construct a holomorphic retraction of D onto the fixed point set of F.
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Khatskevich, V., Reich, S., Shoikhet, D. (1997). Ergodic Methods for the Construction of Holomorphic Retractions. In: Gohberg, I., Lyubich, Y. (eds) New Results in Operator Theory and Its Applications. Operator Theory: Advances and Applications, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8910-0_10
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DOI: https://doi.org/10.1007/978-3-0348-8910-0_10
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