The Functional Calculus for Sectorial Operators

• Main Author: Haase, Markus (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Operator Theory: Advances and Applications ; 169
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Operator Theory.; Functional Analysis.

The present monograph deals with the functional calculus for unbounded operators in general and for sectorial operators in particular. Sectorial operators abound in the theory of evolution equations, especially those of parabolic type. They satisfy a certain resolvent condition that leads to a holom...

Table of Contents:

• Axiomatics for Functional Calculi
• The Functional Calculus for Sectorial Operators
• Fractional Powers and Semigroups
• Strip-type Operators and the Logarithm
• The Boundedness of the H?-Calculus
• Interpolation Spaces
• The Functional Calculus on Hilbert Spaces
• Differential Operators
• Mixed Topics.