Relations To Other Results
This result is related to the Von Neumann bicommutant theorem, which states that, for a *-algebra A of operators on a Hilbert space H, the double commutant A′′ can be approximated by A on any given finite set of vectors. See also the Kaplansky density theorem in the von Neumann algebra setting.
Read more about this topic: Jacobson Density Theorem
Famous quotes containing the words relations to, relations and/or results:
“Our relations to each other are oblique and casual.”
—Ralph Waldo Emerson (1803–1882)
“I know all those people. I have friendly, social, and criminal relations with the whole lot of them.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Being a parent is unlike any previous job—the results of any one action are not clearly visible for a long time, if at all.”
—Anonymous Mother. As quoted in Between Generations by Ellen Galinsky, ch. 2 (1981)