List questions from supremum-and-infimum

Published on 02 Apr 2022 - 5:50

252

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Can a norm on polynomials be "almost multiplicative", even for large degrees?

Published on 09 Apr 2026 - 2:52

73

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About approximation property of supremum

Published on 07 Apr 2022 - 22:14

124

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Does this infimum converge to $+\infty$?

Published on 09 Apr 2022 - 10:45

51

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Uniform convergence through Supremum

Published on 17 Apr 2022 - 12:17

37

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Supremum of $\alpha^2 z^\gamma/(\alpha + z)^2$ for $\gamma \in (0, 2)$

Published on 19 Apr 2022 - 17:20

139

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Why is product of infimum and supremum of a commuting pair of elements in a lattice-ordered group equal to the product of the elements?

Published on 03 Apr 2026 - 20:18

64

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Prove $P\big(\lim (\inf A_n)\big) \le\big( \lim \inf P(A_n)\big)$

Published on 26 Apr 2022 - 7:41

49

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Show $\inf\{t\ge0:x(t-)\in B\text{ or }x(t)\in B\}\le T$ iff $x(T)\in B=\bigcap_nB_n$ or $\forall n:\exists s\in[0,T):x(s)\in B_n$

Published on 27 Apr 2022 - 14:23

412

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How to prove that $\sup(A-B) = \sup(A) - \inf(B)$?

Published on 30 Apr 2022 - 4:00

57

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supremum Proof by contradiction .

Published on 30 Apr 2022 - 8:04

39

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Supremum with respect to an object

Published on 07 Apr 2026 - 20:01

104

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Supremum of bounded family of functions

Published on 03 May 2022 - 4:04

177

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ways to calculate norm of the Bounded Linear Functional.

Published on 08 Apr 2026 - 16:44

104

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Prove that the set of reciprocals of natural numbers has no positive infimum.

Published on 01 Apr 2026 - 5:06

List Question

Is infimum on nonnegative function $>0$ in an example

Can a norm on polynomials be "almost multiplicative", even for large degrees?

About approximation property of supremum

Does this infimum converge to $+\infty$?

Uniform convergence through Supremum

Supremum of $\alpha^2 z^\gamma/(\alpha + z)^2$ for $\gamma \in (0, 2)$

Why is product of infimum and supremum of a commuting pair of elements in a lattice-ordered group equal to the product of the elements?

Prove $P\big(\lim (\inf A_n)\big) \le\big( \lim \inf P(A_n)\big)$

Show $\inf\{t\ge0:x(t-)\in B\text{ or }x(t)\in B\}\le T$ iff $x(T)\in B=\bigcap_nB_n$ or $\forall n:\exists s\in[0,T):x(s)\in B_n$

How to prove that $\sup(A-B) = \sup(A) - \inf(B)$?

supremum Proof by contradiction .

Supremum with respect to an object

Supremum of bounded family of functions

ways to calculate norm of the Bounded Linear Functional.

Prove that the set of reciprocals of natural numbers has no positive infimum.

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