Question

Use the Weierstrass M-test to show that the given series of functions converges uniformly on the given set:

score 196 · Answer 1 · 2018-02-23 02:57:23

196

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Use the Weierstrass M-test to show that the given series of functions converges uniformly on the given set:

Published on 23 Feb 2018 - 2:57

score 79 · Answer 2 · 2026-03-24 22:01:55

79

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Prove that $\|f\|_{p,q}= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(R), h \in L^q(R)\}$ is a norm on $L^p(R)+L^q(R) $

Published on 24 Mar 2026 - 22:01

score 916 · Answer 3 · 2026-03-25 19:57:33

916

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Image of a closed set is closed under bounded linear transformation between Banach spaces?

Published on 25 Mar 2026 - 19:57

score 56 · Answer 4 · 2026-03-25 04:59:35

56

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Existence of $h \in L^p$ function that satisfied $\int f(g-h) =0$ for $g$ measurable and $f \in L^q$

Published on 25 Mar 2026 - 4:59

score 97 · Answer 5 · 2018-02-23 07:31:28

97

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Approximation lemma for continuous functions $f\in C_{K}$

Published on 23 Feb 2018 - 7:31

score 1.3k · Answer 6 · 2026-03-29 09:21:42

1.3k

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Let $M\subset l^{\infty}$ be the subspace of $\; l^{\infty}$ consisting of all sequences $(x_{i})$ with at

Published on 29 Mar 2026 - 9:21

score 68 · Answer 7 · 2026-03-24 22:10:54

68

Views

Neumann DBAR problem with tempered distributions

Published on 24 Mar 2026 - 22:10

score 72 · Answer 8 · 2018-02-23 10:52:00

72

Views

Prove that distance doesn't attained.

Published on 23 Feb 2018 - 10:52

score 55 · Answer 9 · 2026-03-25 09:48:44

55

Views

good book for definitions of spectrum and eigenvalues

Published on 25 Mar 2026 - 9:48

score 177 · Answer 10 · 2026-04-01 05:28:29

177

Views

Is the map $u\mapsto |u|^2 u$ globally or locally Lipschitz continuous in the $H_0^1$ norm?

Published on 01 Apr 2026 - 5:28

score 43 · Answer 11 · 2026-03-29 16:00:45

43

Views

If $f\in L^p(T)$, then there exists $g\in L^p(T)$ such that $\hat{f}(n)=\hat{g}(n)$ for every $n\geq 0$

Published on 29 Mar 2026 - 16:00

score 826 · Answer 12 · 2026-03-25 00:06:34

826

Views

Continuous tensor products and integrals of such

Published on 25 Mar 2026 - 0:06

score 60 · Answer 13 · 2026-03-26 01:11:37

60

Views

Can we reproduce a basis of a vector space of all sequences?

Published on 26 Mar 2026 - 1:11

score 44 · Answer 14 · 2026-04-02 10:24:44

44

Views

Variation with respect to the projective tensor norm of a matrix of bounded variation functions

Published on 02 Apr 2026 - 10:24

score 1.4k · Answer 15 · 2026-04-01 05:17:49

1.4k

Views

Orthogonality of Bessel function

Published on 01 Apr 2026 - 5:17

List Question

Use the Weierstrass M-test to show that the given series of functions converges uniformly on the given set:

Prove that $\|f\|_{p,q}= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(R), h \in L^q(R)\}$ is a norm on $L^p(R)+L^q(R) $

Image of a closed set is closed under bounded linear transformation between Banach spaces?

Existence of $h \in L^p$ function that satisfied $\int f(g-h) =0$ for $g$ measurable and $f \in L^q$

Approximation lemma for continuous functions $f\in C_{K}$

Let $M\subset l^{\infty}$ be the subspace of $\; l^{\infty}$ consisting of all sequences $(x_{i})$ with at

Neumann DBAR problem with tempered distributions

Prove that distance doesn't attained.

good book for definitions of spectrum and eigenvalues

Is the map $u\mapsto |u|^2 u$ globally or locally Lipschitz continuous in the $H_0^1$ norm?

If $f\in L^p(T)$, then there exists $g\in L^p(T)$ such that $\hat{f}(n)=\hat{g}(n)$ for every $n\geq 0$

Continuous tensor products and integrals of such

Can we reproduce a basis of a vector space of all sequences?

Variation with respect to the projective tensor norm of a matrix of bounded variation functions

Orthogonality of Bessel function

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