How to show that this function is surjective? Functional analysis
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Folland, "Real Analysis", Chapter 5.3, Exercise 36.
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Is the set of surjective functions from $\mathbb{N}$ to $\mathbb{N}$ uncountable?
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Showing that this set of functions is a group.
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Show that, if $f:A\to B$ is a function, with $A$ and $B$ being finite sets, and $|A|=|B|$, then $f$ is one to one iff $f$ is onto.
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Surjectivity of Composition of Surjective Functions
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Show that the operator norm is submultiplicative
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If a continuous function$f: (X, \mathscr T_X) \to (Y, \mathscr T_Y)$ is injective (Given $Y$ is Hausdorff), show that X is hausdorff
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If $g \circ f$ is surjective, show that $f$ does not have to be surjective?
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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.
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Rigorous proof that surjectivity implies injectivity for finite sets
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A surjective linear map into a finite dimensional space is open
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If $f \circ g$ is surjective, then f is surjective
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Showing a function on $[0,1]$ is the zero function
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A proof of the fact that the Fourier transform is not surjective from $\mathcal{L}^1(\mathbb{R})$ to $C_0( \mathbb{R})$
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Prove that "injective function $f:X\to Y$ exists" and "surjective function $g:Y\to X$ exists" is logically equivalent.
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A continuous surjective function from $(0,1]$ onto $[0,1]$
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I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.