Question

Does there exist a sequence $\{I_n\}$ of intervals such that $I_{n+1} \subsetneq I_n , \forall n \ge 1$ and $\cap_{n=1}^\infty I_n=(0,1)$ ?

score 309 · Answer 1 · 2015-06-08 13:19:18

Does there exist a sequence $\{I_n\}$ of intervals such that $I_{n+1} \subsetneq I_n , \forall n \ge 1$ and $\cap_{n=1}^\infty I_n=(0,1)$ ?

score 266 · Answer 2 · 2015-06-08 22:29:08

266

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Simple question about the supremum of lebesgue integrals

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score 3.1k · Answer 3 · 2015-06-09 19:14:25

3.1k

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Linearity of the supremum

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score 96 · Answer 4 · 2026-03-25 13:54:47

96

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score 993 · Answer 5 · 2015-06-16 11:05:33

993

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what is the sup and inf of absolute value of $1+z+z^2+ ...+z^n$?

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score 492 · Answer 6 · 2015-06-18 18:27:09

492

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Supremum Definition

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score 231 · Answer 7 · 2015-06-19 07:06:31

231

Views

Infimum of the supremum absolute value of a decreasing sequence of subsets of $\mathbb{C}$ with non-empty intersection

Published on 19 Jun 2015 - 7:06

score 2.7k · Answer 8 · 2015-06-21 03:55:04

2.7k

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Show that $\sup(\frac{1}{A})=\frac{1}{\inf A}$

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score 51 · Answer 9 · 2015-06-25 18:42:25

51

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score 36 · Answer 10 · 2015-06-25 20:11:20

36

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score 170 · Answer 11 · 2026-03-28 12:12:44

170

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Published on 28 Mar 2026 - 12:12

score 838 · Answer 12 · 2015-06-27 22:49:12

838

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score 107 · Answer 13 · 2015-06-30 08:26:59

107

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score 640 · Answer 14 · 2015-07-04 22:22:31

640

Views

Show that $\sup (A\cdot B)=\max\{\sup A\cdot\sup B, \sup A\cdot\inf B,\inf A\cdot\sup B,\inf A\cdot\inf B\}$

Published on 04 Jul 2015 - 22:22

score 199 · Answer 15 · 2015-07-08 12:08:16

199

Views

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Published on 08 Jul 2015 - 12:08

List Question

Does there exist a sequence $\{I_n\}$ of intervals such that $I_{n+1} \subsetneq I_n , \forall n \ge 1$ and $\cap_{n=1}^\infty I_n=(0,1)$ ?

Simple question about the supremum of lebesgue integrals

Linearity of the supremum

Question about an extended linear functional on vector lattice of functions

what is the sup and inf of absolute value of $1+z+z^2+ ...+z^n$?

Supremum Definition

Infimum of the supremum absolute value of a decreasing sequence of subsets of $\mathbb{C}$ with non-empty intersection

Show that $\sup(\frac{1}{A})=\frac{1}{\inf A}$

finding the supremum

Is this expression true for moments of random variables?

Infimum taken over $\lambda$ in $\mathbb{C}$

Function definition involving supremum and infimum

Boundedness of the function

Show that $\sup (A\cdot B)=\max\{\sup A\cdot\sup B, \sup A\cdot\inf B,\inf A\cdot\sup B,\inf A\cdot\inf B\}$

Supremum over separable Banach space of a measurable function is measurable

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