Question

$(X,\mu)$ is a measure space. Show that, $L^\infty(X;\mu)$ is either finite dimensional or non-separable.

score 213 · Answer 1 · 2026-04-16 04:06:53

213

Views

$(X,\mu)$ is a measure space. Show that, $L^\infty(X;\mu)$ is either finite dimensional or non-separable.

Published on 16 Apr 2026 - 4:06

score 46 · Answer 2 · 2026-04-08 09:07:23

46

Views

Inequality in $L^p(\Omega)$

Published on 08 Apr 2026 - 9:07

score 40 · Answer 3 · 2026-04-12 17:40:45

40

Views

Projections of functions of random variables

Published on 12 Apr 2026 - 17:40

score 203 · Answer 4 · 2026-05-15 14:06:19

203

Views

$L^\infty$ norm bounded by $L^2$ norm of certain derivatives

Published on 15 May 2026 - 14:06

score 110 · Answer 5 · 2026-04-17 04:38:17

110

Views

Relationship between the diameter of a set and the radius of a closed ball that contains it, in the $L_1$ space

Published on 17 Apr 2026 - 4:38

score 54 · Answer 6 · 2026-04-15 19:35:49

54

Views

Find the minimum of this functional

Published on 15 Apr 2026 - 19:35

score 73 · Answer 7 · 2026-04-14 18:47:00

73

Views

Approximations of BMO functions

Published on 14 Apr 2026 - 18:47

score 110 · Answer 8 · 2026-03-27 00:57:15

110

Views

Measurability of a Bochner measurable $L^p$-valued function

Published on 27 Mar 2026 - 0:57

score 72 · Answer 9 · 2026-04-15 05:28:52

72

Views

Convergence of the product of an $L_1$-convergent function f and a point-wise a.e. convergent function g.

Published on 15 Apr 2026 - 5:28

score 63 · Answer 10 · 2026-04-16 14:20:07

63

Views

if $f \in L^1,$ is there a Riemann integrable $g$ s.t. $f=g$ almost everywhere?

Published on 16 Apr 2026 - 14:20

score 98 · Answer 11 · 2026-05-15 14:09:58

98

Views

If a function $u \in L^p$ in a Lebesgue space has a weak derivative, in what Lebesgue space is the weak derivative?

Published on 15 May 2026 - 14:09

score 27 · Answer 12 · 2026-04-09 16:09:54

27

Views

Explanation of this passage

Published on 09 Apr 2026 - 16:09

score 44 · Answer 13 · 2026-04-09 13:23:21

44

Views

Norm of addition linear Operator

Published on 09 Apr 2026 - 13:23

score 65 · Answer 14 · 2026-04-16 14:49:25

When is $\{(x_n)_{n=1}^{\infty}\in l_p:\sum_{n=1}^{\infty} n^{\alpha}\cdot |x_n|^{p+1}\leq 1\}$ totally bounded?

score 48 · Answer 15 · 2026-04-16 05:01:36

48

Views

Determining when $A(e_n) = \alpha_n\sum_{i=n}^{2n}e_i$ is a bounded linear function on $l^1(\mathbb{N})$

Published on 16 Apr 2026 - 5:01

List Question

$(X,\mu)$ is a measure space. Show that, $L^\infty(X;\mu)$ is either finite dimensional or non-separable.

Inequality in $L^p(\Omega)$

Projections of functions of random variables

$L^\infty$ norm bounded by $L^2$ norm of certain derivatives

Relationship between the diameter of a set and the radius of a closed ball that contains it, in the $L_1$ space

Find the minimum of this functional

Approximations of BMO functions

Measurability of a Bochner measurable $L^p$-valued function

Convergence of the product of an $L_1$-convergent function f and a point-wise a.e. convergent function g.

if $f \in L^1,$ is there a Riemann integrable $g$ s.t. $f=g$ almost everywhere?

If a function $u \in L^p$ in a Lebesgue space has a weak derivative, in what Lebesgue space is the weak derivative?

Explanation of this passage

Norm of addition linear Operator

When is $\{(x_n)_{n=1}^{\infty}\in l_p:\sum_{n=1}^{\infty} n^{\alpha}\cdot |x_n|^{p+1}\leq 1\}$ totally bounded?

Determining when $A(e_n) = \alpha_n\sum_{i=n}^{2n}e_i$ is a bounded linear function on $l^1(\mathbb{N})$

Trending Questions

Popular # Hahtags

Popular Questions