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http://hdl.handle.net/10662/13863
| Title: | Unbounded operators: functional calculus, generation, perturbationsy |
| Authors: | Batty, Charles |
| Keywords: | Operador sectorial;Cálculo funcional;Estimaciones cuadráticas;Tipo franja;Operador logaritmo;Semigrupo;Función coseno;Perturbación;Operador triangular;Sectorial operator;Functional calculus;Quadratic estimates;Strip type;Operator logarithm;Semigroup;Cosine function;Perturbation;Triangular operator |
| Issue Date: | 2009 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | These lectures review the H∞-functional calculus of sectorial operators and related classes of unbounded operators. Their theory is related to the well established theory of C₀- semigroups and cosine functions. In most cases the existence of a bounded H∞-calculus is equivalent to certain quadratic estimates arising from harmonic analysis. In addition to describing the topic in general, the lectures include recent results in perturbation theory for functional calculus and for diferentiable semigroups. |
| Description: | This article is an extended version of three lectures given at the 4th Advanced Course in Operator Theory and Complex Analysis, in Sevilla, 18-20 June 2007. |
| URI: | http://hdl.handle.net/10662/13863 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 24, nº 2 (2009) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_24_2_99.pdf | 274,18 kB | Adobe PDF | View/Open |
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