Question

Sufficient Conditions for a family of $L^p$ bounded measurable functions to satisfy $\left\Vert \sup_{X\in\mathscr{C}} |X|\right\Vert_p<\infty$

score 106 · Answer 1 · 2026-03-30 20:56:00

106

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Sufficient Conditions for a family of $L^p$ bounded measurable functions to satisfy $\left\Vert \sup_{X\in\mathscr{C}} |X|\right\Vert_p<\infty$

Published on 30 Mar 2026 - 20:56

score 456 · Answer 2 · 2017-08-19 17:54:23

456

Views

Show that there is a unique $r$ in real separates $A$ and $B$, such that $(-\infty, r)\subset A$ and $(r,\infty)\subset B$.

Published on 19 Aug 2017 - 17:54

score 223 · Answer 3 · 2017-08-21 04:13:47

223

Views

Proof check: Suprema

Published on 21 Aug 2017 - 4:13

score 819 · Answer 4 · 2017-08-21 21:37:10

819

Views

Find supremum and infimum of set 3

Published on 21 Aug 2017 - 21:37

score 81 · Answer 5 · 2017-08-22 22:08:46

81

Views

How can I prove that $\inf\limits_{u\in X} I(u)=0 $

Published on 22 Aug 2017 - 22:08

score 211 · Answer 6 · 2017-08-24 14:53:55

211

Views

upper bound and supremum of a set

Published on 24 Aug 2017 - 14:53

score 258 · Answer 7 · 2017-08-25 07:28:10

258

Views

Find supremum and infimum of the set $\{ x \in \mathbb R : |x| +|x+1|<2 \}. $

Published on 25 Aug 2017 - 7:28

score 141 · Answer 8 · 2017-08-26 12:02:15

141

Views

Supremum and infimum of a certain sequence

Published on 26 Aug 2017 - 12:02

score 145 · Answer 9 · 2017-08-27 00:16:14

145

Views

Is completeness of the real line needed to show that if $\lim\limits_{x\to0} f'(x)$ exists and $f$ is continuous at $0$ then $f'(0)$ is the limit?

Published on 27 Aug 2017 - 0:16

score 37 · Answer 10 · 2017-08-27 02:08:59

37

Views

Calculate $k:=\sup\left\{\left\|\theta\right\|_{} \: |\: \ell^{}(\theta)<\infty\right\}$ where $\ell(x,y):=(y-\beta^{t}x)^{2}.$

Published on 27 Aug 2017 - 2:08

score 46 · Answer 11 · 2017-08-29 14:12:38

46

Views

Attempt to generalize suprema and infima

Published on 29 Aug 2017 - 14:12

score 120 · Answer 12 · 2026-04-03 12:58:14

120

Views

Supremum and infimum with proof

Published on 03 Apr 2026 - 12:58

score 1.2k · Answer 13 · 2017-08-30 22:15:15

1.2k

Views

How to prove that if $S\subset \mathbb{Z}$ has a supremum $a$, then $a\in S?$

Published on 30 Aug 2017 - 22:15

score 60 · Answer 14 · 2017-08-31 06:51:28

60

Views

Does it follow that $\sup\emptyset = 0$ if the domain is $\mathbb{R}_{\geq 0} \cup \{\infty\}$?

Published on 31 Aug 2017 - 6:51

score 154 · Answer 15 · 2026-02-23 21:19:11

154

Views

Let $X$ be dense in $Y$. Looking for an example such that a bounded bilinear form fulfills an inf-sup condition on $X\times Y$ but not on $X\times X$

Published on 23 Feb 2026 - 21:19

List Question

Sufficient Conditions for a family of $L^p$ bounded measurable functions to satisfy $\left\Vert \sup_{X\in\mathscr{C}} |X|\right\Vert_p<\infty$

Show that there is a unique $r$ in real separates $A$ and $B$, such that $(-\infty, r)\subset A$ and $(r,\infty)\subset B$.

Proof check: Suprema

Find supremum and infimum of set 3

How can I prove that $\inf\limits_{u\in X} I(u)=0 $

upper bound and supremum of a set

Find supremum and infimum of the set $\{ x \in \mathbb R : |x| +|x+1|<2 \}. $

Supremum and infimum of a certain sequence

Is completeness of the real line needed to show that if $\lim\limits_{x\to0} f'(x)$ exists and $f$ is continuous at $0$ then $f'(0)$ is the limit?

Calculate $k:=\sup\left\{\left\|\theta\right\|_{} \: |\: \ell^{}(\theta)<\infty\right\}$ where $\ell(x,y):=(y-\beta^{t}x)^{2}.$

Attempt to generalize suprema and infima

Supremum and infimum with proof

How to prove that if $S\subset \mathbb{Z}$ has a supremum $a$, then $a\in S?$

Does it follow that $\sup\emptyset = 0$ if the domain is $\mathbb{R}_{\geq 0} \cup \{\infty\}$?

Let $X$ be dense in $Y$. Looking for an example such that a bounded bilinear form fulfills an inf-sup condition on $X\times Y$ but not on $X\times X$

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