7. Commutative maximal algebras

A commutative self-adjoint subalgebra $A$ is said to be maximal if it is not contained in any commutative self-adjoint subalgebra of its own; it is clear that $A \subset A^{'}$ . Suppose $T \in A^{'} \ A$ , then

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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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