What am I not doing in showing: If a holo fcn $f: \mathbb C \to \mathbb C$ satisfies $|f(z)| \le A|z|+B$ then $f$ is linear without using power series
2527
Entire function bounded by a polynomial is a polynomial
128043
$A^n=0$ for $A$ nilpotent without the use of minimal polynomial
63845
Diffeomorphism $f:U\to V$ then $Df:\mathbb{R^n}\to\mathbb{R^m}$ will be linear isomorphism hence $n=m$
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$
45676
Showing that $f$ is linear function if $\forall z \in \mathbb{C}$, $|f(z)| \leq 1 + |z|$.
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
55026
$\mathbb{Q}[X,Y]/(Y^2-X^3)$ is not a UFD
128256
How to prove $H_1(\mathbb{C}/\Lambda, \mathbb{Z})$ to the lattice $\Lambda$ ,$\gamma \mapsto \int_\gamma dz$ is well defined?
83595
Proving that $\mathbb{A}=\{\alpha \in \mathbb{C}: \alpha \text{ is algebraic over } \mathbb{Q} \}$ is not a finite extension
40041
Proof of Non-Ordering of Complex Field
158502
Showing $\sin(\bar{z})$ is not analytic at any point of $\mathbb{C}$
109498
Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$
128711
$(\Bbb Z\oplus \Bbb Z)[X] \not\cong \Bbb Z[X]\oplus \Bbb Z[X]\,$?
10181
Entire one-to-one functions are linear
6722
to show $f$ is a polynomial in $z$
83713
If $z,w\in \mathbb{C}^{\times}$, then $|z+w|=|z|+|w|$ iff $w=tz$ for some $t\gt 0$