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Article | REF: AF567 V1

The spectral theory and its applications. Generalities and compact operators

Author: Marc LENOIR

Publication date: April 10, 2010

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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∈L , we define its norm by the following formula: ‖T‖=supx∈X,

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