Show that linear finite rank operators are open mappings
60692
Is this map to a finite dimensional topological vector space an open map?
125073
Finite-dimensional subspaces of normed vector spaces are direct summands
155244
Holomorphic self map on the open unit disc
43626
Open Mapping Theorem: counterexample
66531
$\|h(x)-h(y)\|\geq 3\|x-y\|$ prove that image of open is open
151046
Closure of the invertible operators on a Banach space
59424
Showing that $B=\{(x,y) \in \Bbb{R^2} \mid \ xy>0 \}$ is an open set
111031
Matrix rank and linear independence of functions
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
33642
Finite dimensional subspace of $C([0,1])$
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
43535
show that the interval of the form $[0,a)$ or $(a, 1]$ is open set in metric subspace $[0,1]$ but not open in $\mathbb R^1$
96452
Is the closedness of the image of a Fredholm operator implied by the finiteness of the codimension of its image?
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
119775
Density of finite rank operator in compact operators on Hilbert spaces
138784
Is the differentiation operator an open mapping?
128730
Open subspaces of locally compact Hausdorff spaces are locally compact