Loosely speaking, an operator ideal I Open image in new window is a subclass of L Open image in new window such that I + I = I Open image in new window and L ∘ I ∘ L = I Open image in new window.
In the section "Deficiencies of the Conventional Formulation of QFT" we already saw that, strictly speaking, field operators cannot be defined at points but need to be smeared out in the (finite and arbitrarily small) vicinity of points, giving rise to smeared field operators φˆ(f), which represent the weighted average field value in the respective region.
As Palin spoke, the operator began speeding ahead during the applause breaks.
If the operator is positive, then is not generally speaking a positive operator.
As a columnist, I'm an independent operator, speaking for myself alone.
"Let's go with the show," Madden said tersely into his phone, speaking to the operator in the pump room.
Referring to a 911 call from Mr. Parks, the Manhattan district attorney's office said that he was speaking with an operator when he encountered Mr. Byas, whom he chased and repeatedly stabbed.
HAUPPAUGE: THE HUMAN TOUCH -- Suffolk County government agencies are rushing to comply with a county law enacted in March that requires them to give callers a choice of speaking to an operator instead of computerized voice-mail.
Mr. Morey is also speaking as an operator whose biggest ride, the Storm, was shut down last September when a child suffered a severe contusion and what was thought to be a buckle fracture to her arm.
We will be speaking with the operator to ensure that this does not happen again".
