Question

Functional Analysis: Continuity and Convergence

score 280 · Answer 1 · 2026-04-09 23:24:08

280

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Functional Analysis: Continuity and Convergence

Published on 09 Apr 2026 - 23:24

score 247 · Answer 2 · 2026-04-29 12:16:46

247

Views

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

Published on 29 Apr 2026 - 12:16

score 48 · Answer 3 · 2026-04-16 01:22:31

48

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 16 Apr 2026 - 1:22

score 78 · Answer 4 · 2026-04-11 02:47:33

78

Views

False statements about the continuous on the interval function

Published on 11 Apr 2026 - 2:47

score 688 · Answer 5 · 2026-05-10 15:56:21

688

Views

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

Published on 10 May 2026 - 15:56

score 87 · Answer 6 · 2026-04-14 00:53:01

87

Views

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

Published on 14 Apr 2026 - 0:53

score 485 · Answer 7 · 2026-04-13 16:33:00

485

Views

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

Published on 13 Apr 2026 - 16:33

score 2.2k · Answer 8 · 2026-05-10 14:52:17

2.2k

Views

Conterexample for Product of Absolutely Continuous Functions is Absolutely Continous

Published on 10 May 2026 - 14:52

score 87 · Answer 9 · 2026-04-15 12:33:04

87

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 15 Apr 2026 - 12:33

score 2.2k · Answer 10 · 2026-05-10 14:42:55

2.2k

Views

Compactness gives Second countable space??

Published on 10 May 2026 - 14:42

score 98 · Answer 11 · 2026-04-14 16:04:36

98

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 14 Apr 2026 - 16:04

score 130 · Answer 12 · 2026-04-14 18:03:08

130

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 14 Apr 2026 - 18:03

score 237 · Answer 13 · 2026-04-04 13:36:22

237

Views

Compositeness test for repunits in base $-3$

Published on 04 Apr 2026 - 13:36

score 82 · Answer 14 · 2026-04-13 00:05:52

82

Views

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

Published on 13 Apr 2026 - 0:05

score 756 · Answer 15 · 2026-04-14 13:30:03

756

Views

Example for continuous function on the metric space R

Published on 14 Apr 2026 - 13:30

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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