Abstract
In this chapter we consider perturbation theory for linear operators in a finite-dimensional space. The main question is how the eigenvalues and eigenvectors (or eigenprojections) change with the operator, in particular when the operator depends on a parameter analytically This is a special case of a more general and more interesting problem in which the operator acts in an infinite-dimensional space.
The erratum of this chapter is available at http://dx.doi.org/10.1007/978-3-642-53393-8_12
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© 1966 Springer-Verlag Berlin Heidelberg
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Kato, T. (1966). Perturbation theory in a finite-dimensional space. In: Perturbation theory for linear operators. Die Grundlehren der mathematischen Wissenschaften, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53393-8_2
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DOI: https://doi.org/10.1007/978-3-642-53393-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-53353-2
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