Müller V. (Ed.) Spectral Theory of Linear Operators: and Spectral Systems in Banach Algebras

2nd Edition. — Springer Basel AG, 2007. — 444 p. — (Operator Theory: Advances and Applications 139) — ISBN: 978-3-7643-8264-3.Spectral theory is an important part of functional analysis. It has numerous applications in many parts of mathematics and physics including matrix theory, function theory, complex analysis, differential and integral equations, control theory and quantum physics.
Since this book was written several years ago, further progress has been made in some parts of the theory. I use the opportunity to include some of the new results, improve the arguments in other places, and also to correct some unfortunate errors and misprints that appeared in the first edition.Banach Algebras
Operators
Essential Spectrum
Taylor Spectrum
Orbits and Capacity
Appendix