The image of dual operator $T^*$ is the annihilator of the kernel of $T$
131503
Image of dual map is annihilator of kernel
118996
Prove that $T$ is an orthogonal projection
51302
Show that the operator norm is submultiplicative
26665
When does the kernel of a function equal the image?
36090
$TT^*=T^2$, show that $T$ is self-adjoint
37060
The Parallelogram Identity for an inner product space
7067
Torsion Modules Annihilators
22149
How to prove $dim(Ker (A- \lambda I))=dim (Ker(A^t- \lambda I))$?
26249
Self adjoint operators and trace class property
82464
$U^*\otimes V$ versus $L(U,V)$ for infinite dimensional spaces
117476
Isometries between dual factor space and annihilator
50037
Proving that kernels of evaluation maps are generated by the $x_i - a_i$
48291
Proof that $\mathrm{ker}(f^*) = \mathrm{im}(f)^{\perp} $
16692
a representation condition of Hilbert space
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
81112
Proving that the dual of the $\mathcal{l}_p$ norm is the $\mathcal{l}_q$ norm.
41620
The dual space of $c$ is $\ell^1$