Question

Density in Compact-Open Equivalent to containment of subbases

score 76 · Answer 1 · 2026-03-07 11:06:17

76

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Density in Compact-Open Equivalent to containment of subbases

Published on 07 Mar 2026 - 11:06

score 29 · Answer 2 · 2026-03-07 11:08:30

29

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Follow up: Density Characterized by Weak Topology

Published on 07 Mar 2026 - 11:08

score 54 · Answer 3 · 2026-03-07 11:12:39

54

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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 07 Mar 2026 - 11:12

score 172 · Answer 4 · 2026-03-07 11:05:16

172

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Reproducing Kernel Hilbert Subspace of $L^2$

Published on 07 Mar 2026 - 11:05

score 90 · Answer 5 · 2026-03-07 11:07:38

90

Views

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

Published on 07 Mar 2026 - 11:07

score 1.2k · Answer 6 · 2026-03-07 11:09:57

1.2k

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

Published on 07 Mar 2026 - 11:09

score 206 · Answer 7 · 2026-03-07 11:08:16

206

Views

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

Published on 07 Mar 2026 - 11:08

score 306 · Answer 8 · 2026-03-07 11:06:18

306

Views

Function from a set to a ring

Published on 07 Mar 2026 - 11:06

score 235 · Answer 9 · 2019-10-05 14:57:36

235

Views

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 05 Oct 2019 - 14:57

score 59 · Answer 10 · 2026-03-07 10:56:49

59

Views

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

Published on 07 Mar 2026 - 10:56

score 29 · Answer 11 · 2026-03-10 05:37:45

29

Views

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

Published on 10 Mar 2026 - 5:37

score 224 · Answer 12 · 2026-03-25 08:11:28

224

Views

Difference quotient for Hölder continuous functions

Published on 25 Mar 2026 - 8:11

score 59 · Answer 13 · 2019-11-16 00:49:25

59

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 16 Nov 2019 - 0:49

score 30 · Answer 14 · 2019-11-28 15:35:10

30

Views

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

Published on 28 Nov 2019 - 15:35

score 1k · Answer 15 · 2026-03-25 06:30:48

1k

Views

Help understanding Reproducing Kernel Hilbert spaces?

Published on 25 Mar 2026 - 6:30

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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