List questions from complete-spaces

Published on 02 Nov 2022 - 15:30

36

Views

Completion of the set of continous functions on $[0,1]$ with the metric $d(x(t),y(t)) = \sup_{t \in [0,1]} t^2|x(t)-y(t)|$.

Published on 03 Nov 2022 - 11:19

99

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limit points of a countable set

Published on 05 Nov 2022 - 19:22

134

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Find a completion of the following spaces

Published on 07 Nov 2022 - 21:46

49

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Find the completion of the metric spaces

Published on 26 Mar 2026 - 6:29

150

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Is this inner product space also a Hilbert space?

Published on 13 Nov 2022 - 7:29

78

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Weak quasi-completion of a locally convex space

Published on 28 Mar 2026 - 3:52

69

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Uniform continuity and seminorms

Published on 28 Mar 2026 - 4:00

30

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Why is it necessary for the domain to be bounded for this banach space?

Published on 19 Nov 2022 - 21:06

52

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Prove the following space is not complete.

Published on 05 Dec 2022 - 17:17

290

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Is $C([0,1])$ complete if $\int_{0}^{1} f(x)g(x)dx$ is the inner product?

Published on 06 Dec 2022 - 0:27

43

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Deciding if $l^1(\mathbb{Z}_+)$ over $\mathbb{F}$ is complete with the norm $\lVert x\rVert=2\left|\sum_{n\geq 1}x_n\right|+\sum_{n\geq2}(1+1/n)|x_n|$

Published on 06 Dec 2022 - 12:02

74

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Verification of the converse of Baire Category Theorem

Published on 10 Dec 2022 - 12:33

95

Views

(Cauchy) complete metric spaces in enriched category theory

Published on 26 Mar 2026 - 1:10

88

Views

Showing that a sequence is Cauchy on $C[0,1]$.

Published on 09 Jan 2023 - 17:26

List Question

Show that the Poincare disk is complete metric space with respect to the hyperbolic metric.

Completion of the set of continous functions on $[0,1]$ with the metric $d(x(t),y(t)) = \sup_{t \in [0,1]} t^2|x(t)-y(t)|$.

limit points of a countable set

Find a completion of the following spaces

Find the completion of the metric spaces

Is this inner product space also a Hilbert space?

Weak quasi-completion of a locally convex space

Uniform continuity and seminorms

Why is it necessary for the domain to be bounded for this banach space?

Prove the following space is not complete.

Is $C([0,1])$ complete if $\int_{0}^{1} f(x)g(x)dx$ is the inner product?

Deciding if $l^1(\mathbb{Z}_+)$ over $\mathbb{F}$ is complete with the norm $\lVert x\rVert=2\left|\sum_{n\geq 1}x_n\right|+\sum_{n\geq2}(1+1/n)|x_n|$

Verification of the converse of Baire Category Theorem

(Cauchy) complete metric spaces in enriched category theory

Showing that a sequence is Cauchy on $C[0,1]$.

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