Relation between linearity and injectivity of an entire function
10181
Entire one-to-one functions are linear
82745
Showing Entire Function is Bounded
45710
Finishing a proof: $f$ is injective if and only if it has a left inverse
25997
Conditions Equivalent to Injectivity
60399
Definition of injective function
121264
Prove that rank $(g \circ f)\le \min[\operatorname{rank}(f),\operatorname{rank}(g)]$; $g$ and $f$ are linear mappings
74453
Injective and Surjective Functions
157844
If $f: \mathbb{C} \to \mathbb{C}$ is analytic and not linear, then $z, f(z), f(f(z)), \dots$ are linearly independent functions over $\mathbb{C}.$
107400
Can there be an injective function whose derivative is equivalent to its inverse function?
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
53971
If $g:V \rightarrow V$ is an injective linear transformation. Prove if $V$ is finite dimensional then $g$ is surjective.
28692
Find if set $I$ of all injective functions $\mathbb{N} \rightarrow \mathbb{N}$ is equinumerous to $\mathbb{R}$
1954
Entire function bounded by polynomial of degree 3/2 must be linear.
127000
When does $V = \ker(f) \oplus \operatorname{im}(f)$?
72006
Suppose $f(x)$ is linear i.e. $f(x + y) = f(x) +f(y) $ and monotone on $[-\infty, +\infty]$, then $f(x) = ax$, a real.
148500
Understanding this theorem and how to go about proving it surjectivity?
108329
If $T\alpha=c\alpha$, then there is a non-zero linear functional $f$ on $V$ such that $T^{t}f=cf$