Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418022 | Journal of Mathematical Analysis and Applications | 2015 | 14 Pages |
Abstract
A class of maps in a complex Banach space is studied, which includes both unbounded linear operators and nonlinear holomorphic maps. The defining property, which we call pseudo-contractivity, is introduced by means of the Abel averages of such maps. We show that the studied maps are dissipative in the spirit of the classical Lumer-Phillips theorem. For pseudo-contractive holomorphic maps, we establish the power convergence of the Abel averages to holomorphic retractions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Filippo Bracci, Yuri Kozitsky, David Shoikhet,