ABSTRACT

Suppose T is a normal operator on a Hilbert space H. Let σ(T) be the spectrum of T and let A https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315137292/676aa42d-79c8-4246-bc0f-e0fd47650f7d/content/eq1594.tif"/> [T] be the C*-algebra generated by T and I. Recall that the Gelfand transform Γ : A [ T ] → C ( σ ( T ) ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315137292/676aa42d-79c8-4246-bc0f-e0fd47650f7d/content/eq1595.tif"/>