Question

Density in Compact-Open Equivalent to containment of subbases

score 81 · Answer 1 · 2026-04-25 02:11:58

81

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Density in Compact-Open Equivalent to containment of subbases

Published on 25 Apr 2026 - 2:11

score 37 · Answer 2 · 2026-04-26 10:13:02

37

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Follow up: Density Characterized by Weak Topology

Published on 26 Apr 2026 - 10:13

score 60 · Answer 3 · 2026-04-27 13:36:34

60

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Prove: $(\forall \epsilon > 0 )(\forall x \in K)(\exists U \in O(x))(\forall f \in Z)(\forall y \in U) | f(x) - f(y) | < \epsilon$ .

Published on 27 Apr 2026 - 13:36

score 179 · Answer 4 · 2026-04-25 20:11:39

179

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Reproducing Kernel Hilbert Subspace of $L^2$

Published on 25 Apr 2026 - 20:11

score 97 · Answer 5 · 2026-04-25 06:25:21

97

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Proof of $f\chi_{\Lambda_n} \to f\chi_{\Lambda}$ in admissible spaces for compact sets $\Lambda_n$

Published on 25 Apr 2026 - 6:25

score 1.2k · Answer 6 · 2026-04-25 11:36:00

1.2k

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Prove that $C_0(X)$ is separable given that X is locally compact metric space

Published on 25 Apr 2026 - 11:36

score 213 · Answer 7 · 2026-04-26 13:53:37

213

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How do you find the spanning set of real-valued functions with only it's finite domain?

Published on 26 Apr 2026 - 13:53

score 312 · Answer 8 · 2026-04-25 09:32:24

312

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Function from a set to a ring

Published on 25 Apr 2026 - 9:32

score 241 · Answer 9 · 2026-05-07 18:48:00

241

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Is possible to show that the linear operator $T(\varphi)(x) = \int_{V_x\cap M} \varphi(y)\text{d}y$ has spectral radius $>0$.

Published on 07 May 2026 - 18:48

score 67 · Answer 10 · 2026-05-03 11:14:31

67

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Does the Hellinger distance generalize to a new class of function space norms?

Published on 03 May 2026 - 11:14

score 34 · Answer 11 · 2026-05-03 14:37:21

34

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On "orthogonal families" in $C[0,1]$

Published on 03 May 2026 - 14:37

score 229 · Answer 12 · 2026-05-05 11:45:33

229

Views

Difference quotient for Hölder continuous functions

Published on 05 May 2026 - 11:45

score 63 · Answer 13 · 2026-04-27 13:07:28

63

Views

For 2 functions $f$ and $g$ in $E$, let $d(f,g) = \max\limits_{x \in [a,b]}|f(x)-g(x)|$. Prove that $(E,d)$ is a metric space.

Published on 27 Apr 2026 - 13:07

score 37 · Answer 14 · 2026-05-05 18:20:10

37

Views

How to interpret domain of a function where the input is scalar to the power vector.

Published on 05 May 2026 - 18:20

score 1k · Answer 15 · 2026-05-02 05:55:49

1k

Views

Help understanding Reproducing Kernel Hilbert spaces?

Published on 02 May 2026 - 5:55

List Question

Density in Compact-Open Equivalent to containment of subbases

Follow up: Density Characterized by Weak Topology

Prove: $(\forall \epsilon > 0 )(\forall x \in K)(\exists U \in O(x))(\forall f \in Z)(\forall y \in U) | f(x) - f(y) | < \epsilon$ .

Reproducing Kernel Hilbert Subspace of $L^2$

Proof of $f\chi_{\Lambda_n} \to f\chi_{\Lambda}$ in admissible spaces for compact sets $\Lambda_n$

Prove that $C_0(X)$ is separable given that X is locally compact metric space

How do you find the spanning set of real-valued functions with only it's finite domain?

Function from a set to a ring

Is possible to show that the linear operator $T(\varphi)(x) = \int_{V_x\cap M} \varphi(y)\text{d}y$ has spectral radius $>0$.

Does the Hellinger distance generalize to a new class of function space norms?

On "orthogonal families" in $C[0,1]$

Difference quotient for Hölder continuous functions

For 2 functions $f$ and $g$ in $E$, let $d(f,g) = \max\limits_{x \in [a,b]}|f(x)-g(x)|$. Prove that $(E,d)$ is a metric space.

How to interpret domain of a function where the input is scalar to the power vector.

Help understanding Reproducing Kernel Hilbert spaces?

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