Restriction of a diagonalizable linear operator $T$ to any nontrivial $T$-invariant subspace is also diagonalizable using a given lemma.
59055
Diagonalizable transformation restricted to an invariant subspace is diagonalizable
46265
Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
83970
Proof of an elementary property of Projection Operators
4952
Let $A$ be a diagonalizable matrix and $\lambda$ be an eigenvalue of A. Prove that rank($\lambda I - A$) = rank(($\lambda I - A)^2$).
118283
Show that if $A^{n}=I$ then $A$ is diagonalizable.
55388
Finding nilpotent and diagonalizable operators for a linear transformation $T$
135316
A basic question on diagonalizability of a matrix
66409
Show that the linear operator $(Tf)(x)=\frac{1}{\pi} \int_0^{\infty} \frac{f(y)}{(x+y)} dy$ satisfies $\|T\|\leq 1$.
117175
Proof that the 2-norm of orthogonal transformation of a matrix is invariant
137081
Is the set of real matrices diagonalizable in $\mathcal M_n(C)$ dense in the set of all companion matrices?
48906
Prove that T is diagonalizable if and only if the minimal polynomial of T has no repeated roots.
8805
Bounded linear operators that commute with translation
90475
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
60111
On the converse of Schur's Lemma
53863
Making a non-diagonalizable matrix diagonalizable with an small perturbations
72541
Is the matrix diagonalizable for all values of t?
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues