If $T(B)$ is a bounded subset of $K$, then, is the linear functional $T$ bounded (norm of $T$ is finite)?
104914
Abount linear functional: If $T(B)$ is bounded, is $T$ bounded?
146026
What is the norm of this bounded linear functional?
145535
Product norm on infinite product space
99300
Prove if $W \subset V$ is a subspace such that $T(W)\subset W$, then $V/W$ is finite-dimensional.
23231
Convergence of $A_nT$ to $AT$ in operator norm for compact $T$
139272
On the norm of a quotient of a Banach space.
151910
Why is $K^{\ast n}$ contained in the norm group?
54321
Questions about $f: \mathbb{R} \rightarrow \mathbb{R}$ with bounded derivative
68724
$||T-I|| < 1$ implies that $T$ is invertible.
6202
$V$ be a vector space , $T:V \to V$ be a linear operator , then is $\ker (T) \cap R(T) \cong R(T)/R(T^2) $?
108329
If $T\alpha=c\alpha$, then there is a non-zero linear functional $f$ on $V$ such that $T^{t}f=cf$
123505
how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
56728
Question about limit points of a Subset of $\mathbb{R}$
142232
Functional Analysis. Continuous extensions of linear functionals.
75059
Let $T:\mathbb{R}^n\to \mathbb{R}^n$ be a linear transformation...
84448
Any positive linear functional $\phi$ on $\ell^\infty$ is a bounded linear operator and has $\|\phi \| = \phi((1,1,...)) $
29849
How can I show that $\sup(AB)\geq\sup A\sup B$ for $A,B\subset\mathbb{R}$ where $A\cup B$ is positive and bounded?