Constructing a continuous linear functional
65664
Separation theorem on the space of all complex continuous functions
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
99179
Continuous function with compact domain has continuous inverse
140813
How do i prove that continuous linear transformation between normed spaces is bounded?
84961
weak sequential continuity of linear operators
120947
continuous real-valued function
157269
If $\alpha_{1},\ldots,\alpha_{m}$ are vectors different from zero vector, then there is a linear functional $f$ such that $f(\alpha_{i})\neq 0$
126878
Monotonic function satisfying darboux property $\Rightarrow$ continuous
17223
Continuity of an inverse function.
15095
continuous onto map from $(0,1)\to (0,1]$
28392
Construct a monotone function which has countably many discontinuities
49099
Constructing a continuous function whose graph seems 'special'
60070
Unique uniformly continuous function into complete space
61484
Continuously invertible operators
76607
Show that exists a continuous function in $E$ that is not bounded
132869
Show that any bounded linear functional on a normed linear space is continuous
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous