Abstract
In this chapter, we develop a general framework in order to deal with operators acting in different Hilbert spaces, but being “close” to each other (in a sense to be made precise). In particular, we generalise the concept of norm resolvent convergence.
Keywords
- Hilbert Space
- Quadratic Form
- Discrete Spectrum
- Essential Spectrum
- Piecewise Smooth Boundary
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© 2012 Springer-Verlag Berlin Heidelberg
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Post, O. (2012). The Functional Analytic Part: Two Operators in Different Hilbert Spaces. In: Spectral Analysis on Graph-like Spaces. Lecture Notes in Mathematics(), vol 2039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23840-6_4
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DOI: https://doi.org/10.1007/978-3-642-23840-6_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23839-0
Online ISBN: 978-3-642-23840-6
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