Abstract
In this chapter we study basic properties of compact operators on Banach spaces. We present the elementary spectral theory of compact operators in Banach spaces, including the spectral radius and properties of eigenvalues. Then we discus basic spectral properties of selfadjoint operators on Hilbert spaces, their spectral decomposition, and show some of the applications of these topics.
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Fabian, M., Habala, P., Hájek, P., Montesinos, V., Zizler, V. (2011). Compact Operators on Banach Spaces. In: Banach Space Theory. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7515-7_15
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DOI: https://doi.org/10.1007/978-1-4419-7515-7_15
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