Showing a proposition with Bounded linear operators that commute with translation. (Stein)
8805
Bounded linear operators that commute with translation
142232
Functional Analysis. Continuous extensions of linear functionals.
81040
proof about commutative operators and T-cyclic vectors
61484
Continuously invertible operators
144019
A strictly positive operator is invertible
60655
$\ker T\subset \ker S\Rightarrow S=rT$ when $S$ and $T$ are linear functionals
125776
If space of bounded operators L(V,W) is Banach, V nonzero, then W is Banach (note direction of implication)
62887
Proof that a linear transformation is continuous
108781
$A$ and $B$ are bounded linear operators from the normed linear space $X$ to itself. If $AB$ is invertible are $A$ and $B$ invertible?
11558
How to show that the limit of compact operators in the operator norm topology is compact
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
26183
Prob. 9, Sec. 4.3 in Kreyszig's Functional Analysis Book: Proof of the Hahn Banach Theorem without Zorn's Lemma
52791
Invertibility of an operator $T$ if $\|I-T\|<1$
69509
Showing a Linear Transformation is invertible
17262
Bounded operator that does not attain its norm
74147
Compactness of  Multiplication Operator on $L^2$
61931
Positive operator is bounded