A bounded linear operator from $X ^*\rightarrow Y^*$ is weak*-weak* continuous iff It is the adjoint of some Bounded linear operator $X\rightarrow Y$
33129
A linear map $S:Y^*\to X^*$ is weak$^*$ continuous if and only if $S=T^*$ for som $T\in B(X,Y)$
80618
Surjective bounded operator in Banach spaces without bounded right-inverse
51302
Show that the operator norm is submultiplicative
129073
If $f'$ is bounded, then $f$ is uniformly continuous
108593
First order weak derivatives of $f(x)=|x|^r$
84961
weak sequential continuity of linear operators
97158
Prove that the operator norm is a norm
122190
Kernel of $T$ is closed iff $T$ is continuous
155317
Norm of adjoint operator in Hilbert space
118332
proof $f(\overline{A})\subseteq \overline{f(A)} \Leftrightarrow f$ continuous
124959
Does weak compactness imply boundedness in a normed vector space (not necessarily complete)?
44269
If $f$ is nonnegative and continuous on $[a,b]$, then $\left(\int_a^b f(x)^n \ dx\right)^{1/n}\to\max\limits_{[a,b]} f$
140813
How do i prove that continuous linear transformation between normed spaces is bounded?
36166
Uniform continuity on (0,1) implies boundedness
133422
How to prove the continuity of an induced map; $g_* : C(X, Y) \rightarrow C(X, R)$, induced from the map $g \in C(Y, R)$, endowed with fine topology.
113790
$\overline{B_1(0)}$ is not weakly* sequentially compact in $(l^\infty)$'
144656
Linear functional and a bounded norm