Question

It is true, for some $N$ constant, that $x^{p}\leq Nx^{\alpha p}$ for $\alpha>1,\ p\geq 1$?

score 27 · Answer 1 · 2020-03-31 18:45:04

27

Views

It is true, for some $N$ constant, that $x^{p}\leq Nx^{\alpha p}$ for $\alpha>1,\ p\geq 1$?

Published on 31 Mar 2020 - 18:45

score 262 · Answer 2 · 2020-03-31 22:36:03

262

Views

Find the norm $\|T\|$, $T^2$ and compare $\|T^2\|$ with $\| T \|^2$

Published on 31 Mar 2020 - 22:36

score 560 · Answer 3 · 2026-03-25 19:04:57

560

Views

Dual Space of General $L^p$ Space Which Takes Values in Banach Space

Published on 25 Mar 2026 - 19:04

score 50 · Answer 4 · 2026-03-25 09:26:54

50

Views

Projection onto a subspace in an $L_p$ normed space

Published on 25 Mar 2026 - 9:26

score 261 · Answer 5 · 2026-02-24 12:38:25

261

Views

Show that the closed unit ball in $L^2[a,b]$ is not sequentially compact.

Published on 24 Feb 2026 - 12:38

score 78 · Answer 6 · 2020-04-06 10:35:07

78

Views

There exists a sequence $(y_n) \in \ell_2$ such that $(x_n / y_n) \in \ell_2$ for every $ (x_n) \in \ell_1$?

Published on 06 Apr 2020 - 10:35

score 98 · Answer 7 · 2026-02-24 12:42:02

98

Views

Limit of continuous function of sequence of $L^2$ functions

Published on 24 Feb 2026 - 12:42

score 39 · Answer 8 · 2026-03-28 13:38:42

39

Views

Is this stochastic integral convergent?

Published on 28 Mar 2026 - 13:38

score 292 · Answer 9 · 2026-03-30 11:34:49

292

Views

Periodic, Infinitely Differentiable Function Dense in $L^2$

Published on 30 Mar 2026 - 11:34

score 53 · Answer 10 · 2026-02-24 05:32:58

53

Views

Any $L^1$ function is the subtraction between two pointwise limits of continuous functions

Published on 24 Feb 2026 - 5:32

score 58 · Answer 11 · 2026-04-02 22:37:47

58

Views

Give an example of a $L^2$ function which is not in $W^{2,2}$

Published on 02 Apr 2026 - 22:37

score 54 · Answer 12 · 2020-04-10 00:41:07

54

Views

Question about showing $L^1$ is complete.

Published on 10 Apr 2020 - 0:41

score 106 · Answer 13 · 2026-04-03 06:53:34

106

Views

Completitude of $L^1[0,1]\cap L^2[0,1]$ with the maximumm norm

Published on 03 Apr 2026 - 6:53

score 72 · Answer 14 · 2020-04-11 21:30:47

72

Views

sufficient condition for mean convergence in $L^1$:prove or disprove

Published on 11 Apr 2020 - 21:30

score 289 · Answer 15 · 2026-03-25 15:46:11

289

Views

Counter example of convergence in $L^{\infty}$

Published on 25 Mar 2026 - 15:46

List Question

It is true, for some $N$ constant, that $x^{p}\leq Nx^{\alpha p}$ for $\alpha>1,\ p\geq 1$?

Find the norm $\|T\|$, $T^2$ and compare $\|T^2\|$ with $\| T \|^2$

Dual Space of General $L^p$ Space Which Takes Values in Banach Space

Projection onto a subspace in an $L_p$ normed space

Show that the closed unit ball in $L^2[a,b]$ is not sequentially compact.

There exists a sequence $(y_n) \in \ell_2$ such that $(x_n / y_n) \in \ell_2$ for every $ (x_n) \in \ell_1$?

Limit of continuous function of sequence of $L^2$ functions

Is this stochastic integral convergent?

Periodic, Infinitely Differentiable Function Dense in $L^2$

Any $L^1$ function is the subtraction between two pointwise limits of continuous functions

Give an example of a $L^2$ function which is not in $W^{2,2}$

Question about showing $L^1$ is complete.

Completitude of $L^1[0,1]\cap L^2[0,1]$ with the maximumm norm

sufficient condition for mean convergence in $L^1$:prove or disprove

Counter example of convergence in $L^{\infty}$

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