A vector on a Hilbert space is said to be cyclic if there exists some bounded linear operator on so that the set of orbits
is dense in . In this case, the operator is said to be a cyclic operator.
A vector on a Hilbert space is said to be cyclic if there exists some bounded linear operator on so that the set of orbits
is dense in . In this case, the operator is said to be a cyclic operator.
This entry contributed by Christopher Stover
Stover, Christopher. "Cyclic Vector." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/CyclicVector.html