The image of a dual transformation is equal to the set of annihilators of the kernel of the original transformation.
359
Show that $\ker \hat{T} = \text{ann}(\text{range } T)$
80211
Annihilator of quotient module M/IM
121886
Proving image of $f:D^n\rightarrow \mathbb{R}^n \;$ contains $\;D^n$
140711
Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
36139
Size of a natural transformation and the Yoneda Lemma
34714
What is the relationship between $\ker(A), \ker(A^2), \ldots, \ker(A^n)$?
117476
Isometries between dual factor space and annihilator
88013
injective linear transformation basis.
6466
Image of subgroup and Kernel of homomorphism form subgroups
14806
How to prove that the radial basis function is a kernel?
37953
Primary Decomposition of $\mathbb{R^n}$ under T
59055
Diagonalizable transformation restricted to an invariant subspace is diagonalizable
42941
Pair of adjoint functors and showing that two certain maps are inverses
129759
Must an ideal contain the kernel for its image to be an ideal?
64481
Characterizing all mobius transformations from unit disk to itself.
141298
Image of the set of natural numbers under any function is denumerable.
32420
A complete orthonormal system contained in a dense sub-space.