How to prove that $(C[a,b], \|\cdot\|_\infty)$ is not a reflexive Banach Space
47231
The space $C^0([0;1],\mathbb{R})$ of all continuous, real-valued functions on $[0,1]$ is not reflexive.
129243
Is $C_{c}^{\infty}[a,b]$ a complete metric space?
125776
If space of bounded operators L(V,W) is Banach, V nonzero, then W is Banach (note direction of implication)
134492
Proving that a Hölder space is a Banach space
70746
Proving that $(x_n)_{n=1}^{\infty}$ is a Cauchy sequence.
20120
Converging series in Banach space
139367
Hahn Banach Theorem: Transfinite Induction
8314
I am trying to find a Banach Space X and a singular operator (Infinite Dimensional Space)
4163
Schauder basis of $(c,\|\cdot\|_{\infty})$
71682
Proving that $X$ is a Banach space iff convergence of $\sum\|x_n\|$ implies convergence of $\sum x_n$
145952
Example of a closed subspace of a Banach space which is not complemented?
19294
‎If ‎‎$‎X$ is an infinite-dimensional Banach space and ‎‎$‎‎u‎\in ‎B(X)‎$ ,then $\bigcap_{v\in K(X)}\sigma(u+v) =\cdots$
65876
A normed space of continuous functions with norm $\int_{0}^{1}|f(t)|dt$ is not complete
62428
How to prove this inequality in Banach space?
126744
Is any Banach space a dual space?
151046
Closure of the invertible operators on a Banach space
76689
How to prove $C_1 \|x\|_\infty \leq \|x\| \leq C_2 \|x\|_\infty$?