Prove that there exists a unique linear map that extends the map from a basis
72952
Uniqueness of a linear map on a basis of a vector space
92774
Prove that a linear subspace of $C([0,1])$ is closed
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
116732
Proving that a continuous map is surjective
146812
Explicit construction for unitary extensions of completely positive and trace preserving (CPTP) maps?
15095
continuous onto map from $(0,1)\to (0,1]$
62219
Under what conditions is the exponential map on a Lie algebra injective?
101319
Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes
154837
mapping properties of $(1−z)^i$
158349
Prove the map sending a matrix to it's inverse is continuous.
59133
Show that an inverse of a bijective linear map is a linear map.
112548
Existence of non-trivial linear functional on any vector space
92600
Let $V$ be a $K$-vector space, $f: V \rightarrow V$ a linear map. Under some condition, show that $v, f(v),...,f^n(v)$ are linearly independent.
33969
"Basis extension theorem" for local smooth vector fields
77722
Lie algebra of affine linear maps
116136
Proof that the inverse of a square matrix is unique
151729
Existence of a unique polynomial