List questions from complete-spaces

72

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For which values of $p$ is this function a metric? And, for what values of $p$ is this space a complete metric space?

Published on 16 Sep 2017 - 17:08

581

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Proof that $C([-1,1])$ not complete

Published on 26 Sep 2017 - 16:36

166

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completeness of the space $C(E,F)$

Published on 27 Sep 2017 - 2:40

1.1k

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Locally compact valued field is complete?

Published on 25 Mar 2026 - 11:12

258

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Proving (cover) compactness implies completeness without using sequential compactness

Published on 29 Sep 2017 - 13:41

2.9k

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Is set of convergent sequence with sup norm Banach?

Published on 30 Sep 2017 - 16:19

152

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There exist infinite-dimensional spaces X, Y and a compact surjective operator T : X → Y .

Published on 03 Oct 2017 - 2:09

33

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I want to check my proof valificated

Published on 05 Oct 2017 - 6:03

52

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Is $(C([-1,1]),\|\cdot\|_2)$ Complete?

Published on 05 Oct 2017 - 18:42

1.3k

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Completion of the maximal unramified extension of the field of $p$-adic numbers

Published on 07 Oct 2017 - 14:41

57

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Is this a contraction mapping

Published on 25 Mar 2026 - 21:30

1.8k

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Prove that $c_0$ is complete by showing that $c_0$ is closed in $l_\infty$.

Published on 08 Oct 2017 - 9:04

1.4k

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How to show the Jungle River Metric is Complete

Published on 09 Oct 2017 - 23:43

954

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Is $d(x,y)=|\log(x/y)|$ the only metric that makes $(\mathbb{R}_+,d)$ complete?

Published on 11 Oct 2017 - 12:13

945

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Exists a complete metric on the space of smooth, compactly supported functions?

Published on 11 Oct 2017 - 19:06

List Question

For which values of $p$ is this function a metric? And, for what values of $p$ is this space a complete metric space?

Proof that $C([-1,1])$ not complete

completeness of the space $C(E,F)$

Locally compact valued field is complete?

Proving (cover) compactness implies completeness without using sequential compactness

Is set of convergent sequence with sup norm Banach?

There exist infinite-dimensional spaces X, Y and a compact surjective operator T : X → Y .

I want to check my proof valificated

Is $(C([-1,1]),\|\cdot\|_2)$ Complete?

Completion of the maximal unramified extension of the field of $p$-adic numbers

Is this a contraction mapping

Prove that $c_0$ is complete by showing that $c_0$ is closed in $l_\infty$.

How to show the Jungle River Metric is Complete

Is $d(x,y)=|\log(x/y)|$ the only metric that makes $(\mathbb{R}_+,d)$ complete?

Exists a complete metric on the space of smooth, compactly supported functions?

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