Abstract
In the first two sections of this chapter the theory of Riesz projections and the functional calculus developed in Chapter I are extended to unbounded linear operators. This extension is quite straightforward. The next two sections concern a more difficult problem, namely, the case when the contour of integration goes through infinity. For the unbounded case (when infinity always belongs to the spectrum) the solution requires a spectral decomposition for the spectrum at infinity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Basel AG
About this chapter
Cite this chapter
Gohberg, I., Goldberg, S., Kaashoek, M.A. (1990). Functional Calculus for Unbounded Operators. In: Classes of Linear Operators Vol. I. Operator Theory: Advances and Applications, vol 49. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7509-7_16
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7509-7_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7511-0
Online ISBN: 978-3-0348-7509-7
eBook Packages: Springer Book Archive