Finite dimension
The spectral theory and its applications. Generalities and compact operators
Article REF: AF567 V1
Finite dimension
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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2. Finite dimension

2.1 The rank theorem and its consequences

The essential result in finite dimension is the rank theorem: dim N(T)+dim ℜ(T)=dim X . The proof consists in completing a basis of N(T) :

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