The spectral theorem

Spectral measurement
The spectral theorem

Author : Marc LENOIR

Publication date: October 10, 2012 | Lire en français

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5. Spectral measurement

5.1 Normal compact operators

The spectral reduction of normal compact operators leads to the following formula: $T = \sum_{k \geq 1} λ_{k} P_{k}$ , where the P_k are the spectral projectors, of N_k images such that $H = {\bar{\bar{\oplus}}}_{k \geq 0} N_{k}$ ,...

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Spectral measurement

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page Borelian functional calculus

von Neumann algebras

Bibliography

(1) - ARVESON (W.) - A short course on spectral theory - Springer, Graduate texts in Mathematics 209 (2002).
(2) - ARVESON (W.) - An invitation to C* -algebras - Springer, Graduate texts in Mathematics 39 (1976).
(3)...

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Spectral measurement The spectral theorem

5. Spectral measurement

5.1 Normal compact operators

Bibliography

Spectral measurement
The spectral theorem