Cyclic subspace
= Cyclic subspace
{wiki=Cyclic_subspace}
In the context of linear algebra and functional analysis, a **cyclic subspace** is a specific type of subspace generated by the action of a linear operator on a particular vector. Often discussed in relation to operators on Hilbert spaces or finite-dimensional vector spaces, a cyclic subspace can be defined as follows: Let \\( A \\) be a linear operator on a vector space \\( V \\), and let \\( v \\in V \\) be a vector.