Question

Functional Analysis: Continuity and Convergence

score 277 · Answer 1 · 2018-02-10 03:34:51

277

Views

Functional Analysis: Continuity and Convergence

Published on 10 Feb 2018 - 3:34

score 239 · Answer 2 · 2026-03-23 09:01:40

239

Views

Thinking of sequence where $f_n'$ does not converge to $f'$

Published on 23 Mar 2026 - 9:01

score 45 · Answer 3 · 2018-02-10 14:24:07

45

Views

True or False: If $\lim_{n\to\infty}a_n=\infty$ then exists $M>0$ such that $a_{n+1}>Ma_n$ for almost all $n$?

Published on 10 Feb 2018 - 14:24

score 75 · Answer 4 · 2018-02-11 10:18:57

75

Views

False statements about the continuous on the interval function

Published on 11 Feb 2018 - 10:18

score 683 · Answer 5 · 2018-02-11 14:25:59

683

Views

Example of a non-closed subspace such that the quotient is not a Banach space

Published on 11 Feb 2018 - 14:25

score 84 · Answer 6 · 2018-02-11 16:33:22

84

Views

Counter example: Derivative value at a single point doesn't imply function monotony

Published on 11 Feb 2018 - 16:33

score 482 · Answer 7 · 2018-02-12 05:45:42

482

Views

Smooth map that is a topological submersion but not a smooth submersion

Published on 12 Feb 2018 - 5:45

score 2.2k · Answer 8 · 2026-03-22 08:03:04

2.2k

Views

Conterexample for Product of Absolutely Continuous Functions is Absolutely Continous

Published on 22 Mar 2026 - 8:03

score 85 · Answer 9 · 2018-02-13 21:59:33

85

Views

Is there any sequence satisfies this :$\exp\left(\sum_{n\geq0}a_n\right)=\sum_{n\geq0}\exp(a_n)$ for which both becames convergents?

Published on 13 Feb 2018 - 21:59

score 2.2k · Answer 10 · 2026-03-22 16:41:43

2.2k

Views

Compactness gives Second countable space??

Published on 22 Mar 2026 - 16:41

score 95 · Answer 11 · 2018-02-15 01:08:35

95

Views

A counter-example to $KerT$ is closed iff $T$ is continuous when $T$ maps from $\mathbb{R}$ to $\mathbb{R^2}$ with respect to standard norms.

Published on 15 Feb 2018 - 1:08

score 127 · Answer 12 · 2018-02-15 06:24:51

127

Views

If $F$ commuting family of matrices then the pairwise products in $F\times F$ form a commuting family but not vice versa

Published on 15 Feb 2018 - 6:24

score 234 · Answer 13 · 2018-02-15 10:00:49

234

Views

Compositeness test for repunits in base $-3$

Published on 15 Feb 2018 - 10:00

score 80 · Answer 14 · 2018-02-15 20:09:03

80

Views

A discontinuous function such that $f(y) - f(x) \leq (x-y)^2$

Published on 15 Feb 2018 - 20:09

score 752 · Answer 15 · 2018-02-16 18:42:46

752

Views

Example for continuous function on the metric space R

Published on 16 Feb 2018 - 18:42

List Question

Functional Analysis: Continuity and Convergence

Thinking of sequence where $f_n'$ does not converge to $f'$

True or False: If $\lim_{n\to\infty}a_n=\infty$ then exists $M>0$ such that $a_{n+1}>Ma_n$ for almost all $n$?

False statements about the continuous on the interval function

Example of a non-closed subspace such that the quotient is not a Banach space

Counter example: Derivative value at a single point doesn't imply function monotony

Smooth map that is a topological submersion but not a smooth submersion

Conterexample for Product of Absolutely Continuous Functions is Absolutely Continous

Is there any sequence satisfies this :$\exp\left(\sum_{n\geq0}a_n\right)=\sum_{n\geq0}\exp(a_n)$ for which both becames convergents?

Compactness gives Second countable space??

A counter-example to $KerT$ is closed iff $T$ is continuous when $T$ maps from $\mathbb{R}$ to $\mathbb{R^2}$ with respect to standard norms.

If $F$ commuting family of matrices then the pairwise products in $F\times F$ form a commuting family but not vice versa

Compositeness test for repunits in base $-3$

A discontinuous function such that $f(y) - f(x) \leq (x-y)^2$

Example for continuous function on the metric space R

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