Abstract
This chapter recalls some basic concepts of the theory of linear operators in normed spaces, with emphasis on Hilbert spaces. It also fixes some notation and introduces the concept of a spectrum along with various proofs. Compact operators are discussed. The readers are supposed to have had a first contact with functional analysis.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2009 Birkhäuser Verlag AG
About this chapter
Cite this chapter
(2009). Linear Operators and Spectra. In: Intermediate Spectral Theory and Quantum Dynamics. Progress in Mathematical Physics, vol 54. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8795-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-7643-8795-2_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8794-5
Online ISBN: 978-3-7643-8795-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)