General context
The spectral theory and its applications. Generalities and compact operators

AF567 V1 Article

General context
The spectral theory and its applications. Generalities and compact operators

Author : Marc LENOIR

Publication date: April 10, 2010 | Lire en français

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1. General context

In this chapter we will deal with the most elementary aspects of the spectral theory of bounded operators on a Banach space X. The set of such operators will be denoted $L (X)$ or more simply $L$ ; if $T \in L$ , we define its norm by the following formula: $‖ T ‖ = \sup_{x \in X,}$

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General context

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Finite dimension

Bibliography

References

(1) - BREZIS (H.) - Analyse fonctionnelle - Masson (1983).
(2) - ARVESON (W.) - A Short Course on Spectral Theory - Springer-Verlag (2002).
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