Show that $B(X)$ is semisimple for a Banach space $X$
2635
equality of two operators...
150447
Prove a differentiable function between banach spaces is continuous
2677
Baire: Show that $f\colon \mathbb{R}\to\mathbb{R}$ is a polynomial in an open bounded set
124844
Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$
97621
Every separable Banach space is isomorphic to $\ell_1/A$ for some closed $A\subset \ell_1$
20120
Converging series in Banach space
79061
show that {$(x_1,x_2,x_3,x_4)\in\mathbb{F}^4$:$x_3=5x_4+b$} is a subspace
78082
Dense subset of two Banach spaces also dense in the intersection
7345
Is $C[0,1]$ a Banach space for the $L^1$ norm?
139272
On the norm of a quotient of a Banach space.
24561
$\mathbb S_n$ as semidirect product
51177
When are two norms equivalent on a Banach space?
52596
A basis for $k(X)$ regarded as a vector space over $k$
104607
Hahn-Banach theorem, dual space
53113
$I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
107682
Show that if the Riesz map is surjective on $H$, then $H$ is a Hilbert space
155974
Show $||Tx||_2 \leq ||(v_n)||_2 \cdot ||x||_{\infty}$