![](/assets/images/picto-drapeau-france-3a76576a5d60a512053b4612ab58dae5.png)
2. Continuous functional calculation
When the operator T is normal in a stellar algebra
, the application Φ, which to ϕ holomorphic in the vicinity of the spectrum of T makes ϕ (T) correspond, is an isometry of C
0
(Σ (T)) in A. Indeed, since the holomorphic calculus carries the spectrum, we have Σ (ϕ (T)) = ϕ (Σ (T)), and since moreover it preserves the normal character of operators, ϕ (T) is normal and therefore the norm of ϕ (T) in
Exclusive to subscribers. 97% yet to be discovered!
You do not have access to this resource.
Click here to request your free trial access!
Already subscribed? Log in!
![](/assets/images/logo-eti-286623ed91fa802ce039246e516e5852.png)
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Continuous functional calculation
Bibliography
Websites
PAULIN (F.). – Complements to spectral theory and harmonic analysis http://www.math.u-psud.fr/∼ paulin/notescours/cours_magistere2.pdf
Exclusive to subscribers. 97% yet to be discovered!
You do not have access to this resource.
Click here to request your free trial access!
Already subscribed? Log in!
![](/assets/images/logo-eti-286623ed91fa802ce039246e516e5852.png)
The Ultimate Scientific and Technical Reference