Self-Adjoint Operators Basis of Eigenfunctions
85581
Matrices commute if and only if they share a common basis of eigenvectors?
32606
Is the operator $T((x_1,x_2,...,x_n))=(x_1,\frac{x_2}2,\frac{x_3}3,...)$ on $\ell^2$ self-adjoint and unitary
78648
Find an orthonormal basis for the subspace of $\mathbb R^4$
70475
Proving a basis for inner product space V when $||e_j-v_j||< \frac{1}{\sqrt{n}}$.
90576
Symmetric matrix eigenvalues
30996
If $\langle Ta, a\rangle \in \mathbb{R}$ for all $a$ then $T$ is self-adjoint
49633
Hermitian conjugate of differential operator
143157
Perturbation theory: justifying expansion in terms of eigenstates of the basis Hamiltonian
57609
Hahn-Banach proof by extension of basis
62693
Eigenspaces of angular momentum operator and its square (Casimir operator)
50948
When Eigenfunctions/Wavefunctions are real?
158876
Computing with matrix differential operators
38839
Exponential of the differential operator
90757
$T$ self-adjoint on Hilbert space $H$, $T^n=T^{n+1}$ will $T$ be an orthogonal projection operator?
119352
compact and self adjoint square root of an operator
150704
Do the ladder operators $a$ and $a^\dagger$ form a complete algebra basis?
121802
Prove that every self-adjoint unitary linear operator can be expressed in the form $U\alpha = \beta - \gamma$