Abstract
We discuss the Earle-Hamilton fixed-point theorem and show how it can be applied when restrictions are known on the numerical range of a holomorphic function. In particular, we extend the Earle-Hamilton theorem to holomorphic functions with numerical range having real part strictly less than 1. We also extend the Lumer-Phillips theorem estimating resolvents to dissipative holomorphic functions.
Original language | English |
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Pages (from-to) | 261-274 |
Number of pages | 14 |
Journal | Abstract and Applied Analysis |
Volume | 2003 |
Issue number | 5 |
DOIs | |
State | Published - Mar 10 2003 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics