3. Diagonalization

The notions of adjoint and then of unitary operator generalize to continuous operators between Hilbert spaces: if $T \in L (H_{1}, H_{2})$ , its adjoint T* is the only element of $L (H_{2}, H_{1})$ such that

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Diagonalization

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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).
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