Showing an isometric isomorphism between $C([0,1])$ with sup norm to itself
91911
A linear operator between $C[0,1]$ and $C[0,1]$ defined as $Tf = f + \int f$; Show $T$ is an isomorphism
106091
Showing $\mathcal{P}(X)$ is isomorphic to $2^X$
47031
Isometric to Dual implies Hilbertable?
43197
Showing that two definitions of $\limsup$ are equivalent
44685
Inner product on $C(\mathbb R)$
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
157915
Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$
92497
Isometric Embedding of a separable Banach Space into $\ell^{\infty}$
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
102371
Proving that two vector spaces of equal dimension are isomorphic
115350
An example of a Banach space isomorphic but not isometric to a dual Banach space
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
70658
Isomorphism between quotient modules
85242
Deciding whether two metrics are topologically equivalent in the space $C^1([0,1])$
77757
Infer the second isomorphism theorem from the first one
60685
The vector space formed on C[0,1] and the norm $(\int_{0}^{1}|f(t)|^2 dt)^{1/2} $
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product