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 and/or results:
“Think of the many different relations of form and content. E.g., the many pairs of trousers and what’s in them.”
—Mason Cooley (b. 1927)
“We do not raise our children alone.... Our children are also raised by every peer, institution, and family with which they come in contact. Yet parents today expect to be blamed for whatever results occur with their children, and they expect to do their parenting alone.”
—Richard Louv (20th century)