Show that the following is bounded and surjective (Folland exercise 5.36)
16220
Folland, "Real Analysis", Chapter 5.3, Exercise 36.
18040
Show that a compact metric space is bounded
40566
Counting surjective functions
121395
Let $X$ and $Y$ be non-empty sets and let $f:X \rightarrow Y$. Prove that $ f^{ −1} :P(Y ) → P(X) $ is injective if, and only if, $f$ is surjective.
80618
Surjective bounded operator in Banach spaces without bounded right-inverse
93102
prove that $f:X\rightarrow Y$ is surjective if and only if $f(f^{-1}(C))=C$
61931
Positive operator is bounded
120648
Proof Check: Every Cauchy Sequence is Bounded
136842
$|x-f(x)|<5777$, Show that $f$ is surjective
48990
Linear map $f:V\rightarrow V$ injective $\Longleftrightarrow$ surjective
97605
Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal
37308
Let $f:K\to K$ with $\|f(x)-f(y)\|\geq ||x-y||$ for all $x,y$. Show that equality holds and that $f$ is surjective.
74844
$f$ is bounded by $M$ on $[a, b]$ and if the restriction of $f$ to every interval $[c, b]$ where $c$ in $(a, b)$ is Riemann integrable
28391
Prove the compactness of a set B
30330
How can I prove that this function is bounded using the given 2 hints?
86107
Map bounded if composition is bounded
28678
Show that $A_n=\sum\limits_{k=1}^n \sin k $ is bounded?