The Functional Analytic Part: Two Operators in Different Hilbert Spaces

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2039)

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mathematical Sciences Science LaboratoriesDurham UniversityDurhamUK

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