[Banach] Abstract of a paper by Stephan Fackler

This is an announcement for the paper "Regularity properties of sectorial operators: counterexamples and open problems" by Stephan Fackler. Abstract: We give a survey on the different regularity properties of sectorial operators on Banach spaces. We present the main results and open questions in the theory and then concentrate on the known methods to construct various counterexamples. Archive classification: math.FA Mathematics Subject Classification: 47D06 (Primary) 47A60, 35K90 (Secondary) Remarks: 21 pages Submitted from: stephan.fackler@uni-ulm.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1407.1142 or http://arXiv.org/abs/1407.1142