Question

Induced representations: space of continuous functions on $G$ to a Hilbert space

score 149 · Answer 1 · 2026-03-27 06:10:21

149

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Induced representations: space of continuous functions on $G$ to a Hilbert space

Published on 27 Mar 2026 - 6:10

score 53 · Answer 2 · 2021-01-28 09:11:48

53

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Difference in calculating continuity and uniform continuity

Published on 28 Jan 2021 - 9:11

score 82 · Answer 3 · 2021-02-02 17:33:33

82

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$f: (a, b] \to \mathbb{R}$ continuous. Prove: $f$ continuously resumable in $a \iff f$ is uniformly continuous

Published on 02 Feb 2021 - 17:33

score 73 · Answer 4 · 2021-02-03 23:10:50

73

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Is the function $f(z) = z$ continuous on $|z| = 1$?

Published on 03 Feb 2021 - 23:10

score 42 · Answer 5 · 2021-02-04 21:04:02

42

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How to show function is uniformly continous on certain interval

Published on 04 Feb 2021 - 21:04

score 304 · Answer 6 · 2021-02-07 10:16:44

304

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Is a function that is continuous and doesn't blow up always uniformly continuous?

Published on 07 Feb 2021 - 10:16

score 569 · Answer 7 · 2021-02-07 21:08:16

569

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Uniform continuous function is bounded by a linear function.

Published on 07 Feb 2021 - 21:08

score 27 · Answer 8 · 2026-04-03 10:55:16

27

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If $\tau$ is a vector topology on a normed space s.t. a closed ball is $\tau$-compact, is a continuous function on a closed ball even uniformly cont.?

Published on 03 Apr 2026 - 10:55

score 74 · Answer 9 · 2026-03-30 08:29:14

74

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Proving $\cosh(\sqrt{1+x^2})$ is not uniformly continuous in $\mathbb{R}$

Published on 30 Mar 2026 - 8:29

score 250 · Answer 10 · 2021-02-14 11:19:41

250

Views

Physical Interpretation of uniformly continuous function.

Published on 14 Feb 2021 - 11:19

score 284 · Answer 11 · 2021-02-14 13:03:58

284

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Prove that a function is uniformly continuous.

Published on 14 Feb 2021 - 13:03

score 79 · Answer 12 · 2026-03-28 00:37:30

79

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If $(f_n)$ is an orthonormal basis and $\lambda_n\to\infty$, is $T(t)x:=\sum_ne^{-λ_nt}\langle x,f_n\rangle f_n$ uniformly continuous?

Published on 28 Mar 2026 - 0:37

score 2k · Answer 13 · 2021-02-15 18:33:48

2k

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Uniformly continuous function on bounded open interval is bounded

Published on 15 Feb 2021 - 18:33

score 184 · Answer 14 · 2021-02-16 11:25:15

184

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Converse of Heine-Cantor Theorem

Published on 16 Feb 2021 - 11:25

score 107 · Answer 15 · 2021-02-17 18:23:46

107

Views

Show $f(x)=x^TBx$ is not uniformly continuous if $B$ is symmetric

Published on 17 Feb 2021 - 18:23

List Question

Induced representations: space of continuous functions on $G$ to a Hilbert space

Difference in calculating continuity and uniform continuity

$f: (a, b] \to \mathbb{R}$ continuous. Prove: $f$ continuously resumable in $a \iff f$ is uniformly continuous

Is the function $f(z) = z$ continuous on $|z| = 1$?

How to show function is uniformly continous on certain interval

Is a function that is continuous and doesn't blow up always uniformly continuous?

Uniform continuous function is bounded by a linear function.

If $\tau$ is a vector topology on a normed space s.t. a closed ball is $\tau$-compact, is a continuous function on a closed ball even uniformly cont.?

Proving $\cosh(\sqrt{1+x^2})$ is not uniformly continuous in $\mathbb{R}$

Physical Interpretation of uniformly continuous function.

Prove that a function is uniformly continuous.

If $(f_n)$ is an orthonormal basis and $\lambda_n\to\infty$, is $T(t)x:=\sum_ne^{-λ_nt}\langle x,f_n\rangle f_n$ uniformly continuous?

Uniformly continuous function on bounded open interval is bounded

Converse of Heine-Cantor Theorem

Show $f(x)=x^TBx$ is not uniformly continuous if $B$ is symmetric

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