Normal Elements
The notion of normal operators generalizes to an involutive algebra; namely, an element x of an involutive algebra is said to be normal if . The most important case is when such an algebra is a C*-algebra. A positive element is an example of a normal element.
Read more about this topic: Normal Operator
Famous quotes containing the words normal and/or elements:
“I don’t mind saying in advance that in my opinion jealousy is normal and healthy. Jealousy arises out of the fact that children love. If they have no capacity to love, then they don’t show jealousy.”
—D.W. Winnicott (20th century)
“The Laws of Nature are just, but terrible. There is no weak mercy in them. Cause and consequence are inseparable and inevitable. The elements have no forbearance. The fire burns, the water drowns, the air consumes, the earth buries. And perhaps it would be well for our race if the punishment of crimes against the Laws of Man were as inevitable as the punishment of crimes against the Laws of Nature—were Man as unerring in his judgments as Nature.”
—Henry Wadsworth Longfellow (1807–1882)