Cyclic vector implies commuting linear operator is a polynomial
126197
Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same
112900
Eigenvalue of a polynomial evaluated in a operator
151803
Prove that $R$ is commutative
93062
Is Every Invariant Subspace the Kernel of an polynomial applied in the operator?
144019
A strictly positive operator is invertible
131366
Cyclotomic polynomial
77891
$(U\circ T)^{*} = T^{*}\circ U^{*}$
120535
Basis of the polynomial vector space
94239
Proof that if group $G/Z(G)$ is cyclic, then $G$ is commutative
152887
Let $T : V \rightarrow V$ be a linear operator. If $T^n = O_V$ for some $n \ge 1$, prove that $I_V + T$ is an isomorphism.
72560
Eigenspace of the companion matrix of a monic polynomial
108742
Proving commutativity of addition for vector spaces
105717
Trace of a commutator is zero - but what about the commutator of $x$ and $p$?
110808
Isomorphisms preserve cyclic
14111
Determining possible minimal polynomials for a rank one linear operator
121830
The commutators of related vector fields are related
117131
Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$