List questions from lp-spaces

49

Views

If, for every $n$, $f_n\to0$ at infinity and $|f_n(x_n)|\geq C$, can one deduce that $(x_n)$ is bounded?

Published on 29 Mar 2026 - 19:14

196

Views

The existence of a bounded linear functional

Published on 07 Mar 2017 - 10:28

881

Views

Reverse triangle inequality to the power of $p$

Published on 07 Mar 2017 - 15:31

154

Views

Construction of a norm in Lp such that it derives from an inner product

Published on 07 Mar 2017 - 15:56

765

Views

How do trig functions change in an $ L_p $ norm?

Published on 07 Mar 2017 - 18:38

203

Views

Is there a "simple" proof of $\lim_{p\to\infty}\|f\|_p=\|f\|_\infty$ for simple functions?

Published on 08 Mar 2017 - 1:03

214

Views

Convergence a.e of a sequence of functions in $L^{p}$

Published on 08 Mar 2017 - 2:39

357

Views

How to concretely find the characters and pure states of $L^\infty$?

Published on 28 Mar 2026 - 1:48

325

Views

find all isometry in ...

Published on 27 Mar 2026 - 9:38

131

Views

If $f_n\to f$ in $L^1(\Bbb R)$ and $f_n\to g$ in $L^2(\Bbb R)$,deduce that $f=g$ a.e.

Published on 13 Mar 2017 - 7:27

338

Views

A step in the proof of Sobolev embedding theorem

Published on 27 Mar 2026 - 10:45

368

Views

Uniform Lp bound implies finite Lp norm with random index?

Published on 13 Mar 2017 - 16:24

146

Views

ratio of consecutive $l^p$ norms of cumulative distribution functions

Published on 14 Mar 2017 - 22:45

1k

Views

Finite almost everywhere and essential supremum

Published on 15 Mar 2017 - 9:29

71

Views

When sequence of compactly supported functions bounded in $L^2$?

Published on 05 Apr 2026 - 17:58

List Question

If, for every $n$, $f_n\to0$ at infinity and $|f_n(x_n)|\geq C$, can one deduce that $(x_n)$ is bounded?

The existence of a bounded linear functional

Reverse triangle inequality to the power of $p$

Construction of a norm in Lp such that it derives from an inner product

How do trig functions change in an $ L_p $ norm?

Is there a "simple" proof of $\lim_{p\to\infty}\|f\|_p=\|f\|_\infty$ for simple functions?

Convergence a.e of a sequence of functions in $L^{p}$

How to concretely find the characters and pure states of $L^\infty$?

find all isometry in ...

If $f_n\to f$ in $L^1(\Bbb R)$ and $f_n\to g$ in $L^2(\Bbb R)$,deduce that $f=g$ a.e.

A step in the proof of Sobolev embedding theorem

Uniform Lp bound implies finite Lp norm with random index?

ratio of consecutive $l^p$ norms of cumulative distribution functions

Finite almost everywhere and essential supremum

When sequence of compactly supported functions bounded in $L^2$?

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