Perturbations and sums of operators

Book chapter (2023)

Authors

Tuomas Hytönen Viikki Biocenter 1
J.M.A.M. van Neerven Analysis - EEMCS
M.C. Veraar Analysis - EEMCS
L Weis Karlsruhe Institut für Technologie
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2023 Tuomas Hytönen, J.M.A.M. van Neerven, M.C. Veraar, Lutz Weis
DOI: https://doi.org/10.1007/978-3-031-46598-7_6
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Published Date

2023

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

In this chapter we address a couple of topics in the theory of H∞-calculus centering around the question what can be said about an operator of the form A+B when A and B have certain “good” properties such as being (R-)sectorial or admitting a bounded H∞-calculus.