Bounded linear integral operator and its norm
33485
norm of integral operator in $C([0,1])$
38761
Is the $ L^{p}$$[0,1]$ norm continuous in p?
62425
Equivalent Definitions of the Operator Norm
143869
Showing that the norm of the canonical projection $X\to X/M$ is $1$
50160
The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.
132869
Show that any bounded linear functional on a normed linear space is continuous
81742
Integral inequality (Cauchy-Schwarz)
156858
Kernel of powers of a normal operator
65876
A normed space of continuous functions with norm $\int_{0}^{1}|f(t)|dt$ is not complete
98242
Integral inequality in $\Bbb R^n$
144112
Show that $c_0$ is a Banach space with the norm $\rVert \cdot \lVert_\infty$
63608
Cauchy sequence in a normed space
84448
Any positive linear functional $\phi$ on $\ell^\infty$ is a bounded linear operator and has $\|\phi \| = \phi((1,1,...)) $
11159
Problem about a compact operator $T:l^p\rightarrow l^p$
143699
Bounded measurable function and integral with charcteristic function
8805
Bounded linear operators that commute with translation
38896
Prove that $A$ is bounded operator on $\ell^p$ and find $\| A\|$