Proving an complex operator is self-adjoint
30996
If $\langle Ta, a\rangle \in \mathbb{R}$ for all $a$ then $T$ is self-adjoint
2439
If a linear operator has an adjoint operator, it is bounded
146690
Basis for adjoint representation of $sl(2,F)$
92281
Normal Operator that is not Self-Adjoint
22297
Normal operator $\Rightarrow$ S invariant implies $S^\perp$ invariant
55488
Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
54668
Proof for the completeness of eigenfunctions of a self-adjoint operator
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
83970
Proof of an elementary property of Projection Operators
131906
"An operator is hermitian". Implications?
72046
Prove all eigenvalues of $A^*A$ are non-negative
117187
Uniqueness of the involution on a $C^*$-algebra
71442
How to prove $\det(I+uv^\intercal)=1+v^\intercal u$
155317
Norm of adjoint operator in Hilbert space
157328
A complex analysis problem to prove an inequality
119352
compact and self adjoint square root of an operator
30569
Prove that the only operator on $\mathbb{C}$ for which his inner product is zero is zero