List questions from supremum-and-infimum

Published on 06 Apr 2026 - 18:11

107

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Using supremum norm to show uniform boundedness of bounded uniformly convergent sequence

Published on 16 May 2021 - 14:20

109

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$lub(a, b)$ and $glb(a, b)$ of non- comparable lattice elements

Published on 03 Apr 2026 - 7:10

100

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Simple supremum/infimum proof

Published on 19 May 2021 - 10:59

132

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Show that $|f(x)-f(y)|\leq d(x,y)$ holds for any two points $x,y$ of $\mathbb{R}^n$

Published on 19 May 2021 - 16:36

103

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Infimum of $A:= \{x\in \mathbb{Q}:-1< x< \sqrt{2} \text{ or } x^2= 2\}$

Published on 23 May 2021 - 4:29

249

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Infimum of $x^x$

Published on 06 Apr 2026 - 6:12

420

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LUB and GLB of a function

Published on 25 May 2021 - 4:39

66

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How to detect an irrational $(x + \sqrt{\lambda})/y$ by approximation?

Published on 30 Mar 2026 - 13:18

1.1k

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Switching the order of supremum

Published on 26 May 2021 - 15:29

759

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$\epsilon$-criterion of infimum

Published on 26 May 2021 - 16:55

57

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Property on the infimum

Published on 27 May 2021 - 18:49

307

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Continuity of a supremum function over compact sets

Published on 27 May 2021 - 19:22

45

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Is $S:= \{x\cos\left(\frac{1}{x^4}\right): x\in [-9,2]\}$ bounded above?

Published on 28 May 2021 - 6:35

32

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Let $m\in C[a, b]$. Consider on $(C[a, b], ||m||_∞)$ the Multiplication operator $A:C[a, b]\to C[a, b], Af=mf$. prove that $||A||=||m||_∞$.

Published on 30 May 2021 - 7:10

List Question

Integrability of a function defined using an enumeration of the rationals in $[0,1)$

Using supremum norm to show uniform boundedness of bounded uniformly convergent sequence

$lub(a, b)$ and $glb(a, b)$ of non- comparable lattice elements

Simple supremum/infimum proof

Show that $|f(x)-f(y)|\leq d(x,y)$ holds for any two points $x,y$ of $\mathbb{R}^n$

Infimum of $A:= \{x\in \mathbb{Q}:-1< x< \sqrt{2} \text{ or } x^2= 2\}$

Infimum of $x^x$

LUB and GLB of a function

How to detect an irrational $(x + \sqrt{\lambda})/y$ by approximation?

Switching the order of supremum

$\epsilon$-criterion of infimum

Property on the infimum

Continuity of a supremum function over compact sets

Is $S:= \{x\cos\left(\frac{1}{x^4}\right): x\in [-9,2]\}$ bounded above?

Let $m\in C[a, b]$. Consider on $(C[a, b], ||m||_∞)$ the Multiplication operator $A:C[a, b]\to C[a, b], Af=mf$. prove that $||A||=||m||_∞$.

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