List questions from function-spaces

Published on 25 Mar 2026 - 14:20

927

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How is it possible for the L² norm of f − g to measure the area between the graphs of f and g?

Published on 25 Mar 2026 - 14:25

1.4k

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Continuous even functions closed and dense

Published on 11 Apr 2026 - 15:01

229

Views

Prove any smooth function with compact support can be uniformly approximated by elements in the space generated by $f_a(x)=e^{iax}e^{-x^2}$.

Published on 11 Apr 2026 - 11:13

53

Views

Is the space of continuous functions compactly generated when the space is?

Published on 25 Mar 2026 - 14:27

215

Views

Inequality involving the Besov norm

Published on 25 Mar 2026 - 13:55

275

Views

Dimension of $r$-jets of maps from manifolds $M$ to $N$

Published on 25 Mar 2026 - 19:09

83

Views

The metric on the space of continuous functions

Published on 25 Mar 2026 - 14:22

50

Views

The space of all continuous real functions with compact support

Published on 25 Mar 2026 - 16:01

60

Views

Closeness of a family of functions

Published on 25 Mar 2026 - 16:02

275

Views

Show that, in $C[0,1]$, the functions with $f(\Bbb Q) \subseteq \Bbb Q$ are dense.

Published on 25 Mar 2026 - 14:27

67

Views

Problem with orthogonalizing the Laguerre polynomials

Published on 09 Apr 2026 - 17:11

582

Views

Standard Basis of Function Space $\mathbb{R}^\mathbb{R}$

Published on 25 Mar 2026 - 16:06

42

Views

Inexistence of a finite $\frac{1}{2}$-net

Published on 25 Mar 2026 - 14:26

43

Views

Do linear algebra and ring theory give any worthwhile results for spaces of continuous/differentiable functions?

Published on 25 Mar 2026 - 14:23

List Question

About the notation $C_{\to0}^0(\mathbb R^n)$

How is it possible for the L² norm of f − g to measure the area between the graphs of f and g?

Continuous even functions closed and dense

Prove any smooth function with compact support can be uniformly approximated by elements in the space generated by $f_a(x)=e^{iax}e^{-x^2}$.

Is the space of continuous functions compactly generated when the space is?

Inequality involving the Besov norm

Dimension of $r$-jets of maps from manifolds $M$ to $N$

The metric on the space of continuous functions

The space of all continuous real functions with compact support

Closeness of a family of functions

Show that, in $C[0,1]$, the functions with $f(\Bbb Q) \subseteq \Bbb Q$ are dense.

Problem with orthogonalizing the Laguerre polynomials

Standard Basis of Function Space $\mathbb{R}^\mathbb{R}$

Inexistence of a finite $\frac{1}{2}$-net

Do linear algebra and ring theory give any worthwhile results for spaces of continuous/differentiable functions?

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