List questions from dense-subspaces

Published on 05 Oct 2022 - 9:50

66

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$\mu$-finitely supported functions

Published on 05 Oct 2022 - 17:59

45

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Density of compactly supported functions on a clopen set

Published on 05 Oct 2022 - 23:31

83

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Dense Set of Functions

Published on 11 Oct 2022 - 7:23

21

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Density of a subspace of continous functions for the norm $1$.

Published on 12 Oct 2022 - 19:52

29

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Density of a subset using sequences

Published on 19 Oct 2022 - 15:59

62

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How do I prove that $\{f\in L^p(\Bbb{R}): \{f\neq 0\} ~\text{is bounded in } \Bbb{R}\}$ is dense in $L^p(\Bbb{R})$?

Published on 23 Oct 2022 - 21:19

60

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Is the set $l_2$ everywhere dense in the space $c_0$? in the space $c$? in the space $\omega$

Published on 07 Nov 2022 - 22:43

56

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How can I show that $X\setminus Y$ is dense in $X$ if $X$ is a normed space?

Published on 13 Nov 2022 - 10:25

73

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Set of step function is dense in piecewise functions set, understanding of the statement.

Published on 20 Nov 2022 - 10:53

172

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Weak* sequential density vs weak* density

Published on 15 Dec 2022 - 15:11

29

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On finite non-dense but co-dense subset of hyperconnected topological space

Published on 20 Dec 2022 - 16:25

114

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Let be $X$ a space with dense subset $D$. If $Y$ is a Hausdorff space and $f,g:X\to Y$ are continuous maps so that $f=g$ on $D$, then $f=g$ on $X$.

Published on 04 Jan 2023 - 21:52

139

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Approximation of bounded, differentiable function in $W^{1,p}$

Published on 06 Jan 2023 - 17:46

77

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dense set in $c_o(\Bbb{Z})$

Published on 08 Jan 2023 - 9:24

List Question

Differentiation and continuity

$\mu$-finitely supported functions

Density of compactly supported functions on a clopen set

Dense Set of Functions

Density of a subspace of continous functions for the norm $1$.

Density of a subset using sequences

How do I prove that $\{f\in L^p(\Bbb{R}): \{f\neq 0\} ~\text{is bounded in } \Bbb{R}\}$ is dense in $L^p(\Bbb{R})$?

Is the set $l_2$ everywhere dense in the space $c_0$? in the space $c$? in the space $\omega$

How can I show that $X\setminus Y$ is dense in $X$ if $X$ is a normed space?

Set of step function is dense in piecewise functions set, understanding of the statement.

Weak* sequential density vs weak* density

On finite non-dense but co-dense subset of hyperconnected topological space

Let be $X$ a space with dense subset $D$. If $Y$ is a Hausdorff space and $f,g:X\to Y$ are continuous maps so that $f=g$ on $D$, then $f=g$ on $X$.

Approximation of bounded, differentiable function in $W^{1,p}$

dense set in $c_o(\Bbb{Z})$

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