Continuous linear operator with noncontinuous inverse
43626
Open Mapping Theorem: counterexample
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
145885
Linear transformation preserving orthogonality
158567
A uniform continuous function which is not Hölder continuous
32340
Continuous bijections and their inverses
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
15095
continuous onto map from $(0,1)\to (0,1]$
135661
Weakly continuous operators are continuous
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
140813
How do i prove that continuous linear transformation between normed spaces is bounded?
92497
Isometric Embedding of a separable Banach Space into $\ell^{\infty}$
120947
continuous real-valued function
72240
Prove that if a linear operator is continuous, then it is bounded.
132869
Show that any bounded linear functional on a normed linear space is continuous
2439
If a linear operator has an adjoint operator, it is bounded
78344
Nonconstant linear functional on a topological vector space is an open mapping
65346
Characterisation of uniformly continuous function