Abstract
Let L be a bounded operator in a complex Banach space X. In this space we denote the norm by ‖⋅‖ and the same notation is used for the induced operator norms. Unless explicitly stated otherwise, continuity, convergence etc. is to be understood in terms of the norm topology in X and in the uniform operator topology for operators. Our main goal to start with is to estimate powers of L in the form
.
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
© 1993 Springer Basel AG
About this chapter
Cite this chapter
Nevanlinna, O. (1993). Spectrum, Resolvent and Power Boundedness. In: Convergence of Iterations for Linear Equations. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8547-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8547-8_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2865-8
Online ISBN: 978-3-0348-8547-8
eBook Packages: Springer Book Archive