Abstract
Motivated by the eigenvalue problems for ordinary and partial differential operators, we shall develop the spectral theory for linear operators in Hilbert spaces. Here we transform the unbounded differential operators into singular integral operators which are completely continuous. With his study of integral equations D. Hilbert, together with his students E. Schmidt, I. Schur, and H. Weyl, opened a new era for the analysis.
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© 2012 Springer-Verlag London
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Sauvigny, F. (2012). Linear Operators in Hilbert Spaces. In: Partial Differential Equations 2. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-2984-4_2
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DOI: https://doi.org/10.1007/978-1-4471-2984-4_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2983-7
Online ISBN: 978-1-4471-2984-4
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