continuous functional calculus造句

For the continuous functional calculus, the key ingredients are the following:
This definition can be generalized to include continuous functions using continuous functional calculus.
First pass from polynomial to continuous functional calculus by using the Stone-Weierstrass theorem.
is positive, where the continuous functional calculus is used to define the square root.
Property 2 and the continuous functional calculus ensure that ? preserves the *-operation.
It's difficult to find continuous functional calculus in a sentence. 用continuous functional calculus造句挺难的

This is the continuous functional calculus.
The spectral measures can be used to extend the continuous functional calculus to bounded Borel functions.
I know next to nothing about continuous functional calculus and that article isn't very helpful.
Some of these properties can be established by using the continuous functional calculus or by reduction to commutative C *-algebras.
The idea is to first establish the continuous functional calculus then pass to measurable functions via the Riesz-Markov representation theorem.
Similarly, the continuous functional calculus holds for normal elements in any C *-algebra and the measurable functional calculus for normal elements in any von Neumann algebra.
The more general continuous functional calculus can be defined for any self-adjoint ( or even normal, in the complex case ) bounded linear operator on a Hilbert space.