Question

Is a space of polynomials over Real numbers complete?

score 70 · Answer 1 · 2018-12-04 07:56:47

70

Views

Is a space of polynomials over Real numbers complete?

Published on 04 Dec 2018 - 7:56

score 995 · Answer 2 · 2018-12-04 19:39:34

995

Views

Let $Y$ be a complete metric space. Then $C^0 (X,Y)$ is complete under the uniform convergence metric.

Published on 04 Dec 2018 - 19:39

score 307 · Answer 3 · 2018-12-07 09:41:18

307

Views

Proving that the non-negative real line is complete

Published on 07 Dec 2018 - 9:41

score 437 · Answer 4 · 2018-12-07 13:59:34

437

Views

How to find a completion for a metric space (For instance, support compact continuous real functions)

Published on 07 Dec 2018 - 13:59

score 54 · Answer 5 · 2018-12-19 14:42:26

54

Views

Are there any sets that are not complete metric spaces under all possible metrics?

Published on 19 Dec 2018 - 14:42

score 22 · Answer 6 · 2018-12-21 18:06:24

22

Views

Choosing a correct option related to compactness and completeness about image of map.

Published on 21 Dec 2018 - 18:06

score 240 · Answer 7 · 2018-12-28 02:11:27

240

Views

On a version of Urysohn lemma for complete metric spaces, involving uniform continuous functions

Published on 28 Dec 2018 - 2:11

score 50 · Answer 8 · 2018-12-28 05:27:02

50

Views

If $(X,\|.\|_)$ is complete and $\|.\|_{} \leq \|.\|_{}$, then is $(X,\|.\|_{})$ complete?

Published on 28 Dec 2018 - 5:27

score 871 · Answer 9 · 2018-12-28 06:20:36

871

Views

Any finite dimensional normed linear space over a complete field is complete.

Published on 28 Dec 2018 - 6:20

score 861 · Answer 10 · 2018-12-28 19:37:42

861

Views

Complete metric space in which the large balls are not compact.

Published on 28 Dec 2018 - 19:37

score 81 · Answer 11 · 2018-12-29 02:10:31

81

Views

On a special type of sequence in complete metric space

Published on 29 Dec 2018 - 2:10

score 90 · Answer 12 · 2018-12-29 02:21:22

90

Views

Possible characterization of compact metric spaces via real-valued uniformly continuous functions?

Published on 29 Dec 2018 - 2:21

score 141 · Answer 13 · 2019-01-04 20:36:32

141

Views

A complete orthonormal system $\{e_i\}^\infty_{i=1}$ in $H$ is a basis in $H$

Published on 04 Jan 2019 - 20:36

score 460 · Answer 14 · 2019-01-06 18:51:34

460

Views

Proving the statement "$l^1$ is complete." differently.

Published on 06 Jan 2019 - 18:51

score 759 · Answer 15 · 2026-03-25 17:44:50

759

Views

completeness and the open mapping theorem

Published on 25 Mar 2026 - 17:44

List Question

Is a space of polynomials over Real numbers complete?

Let $Y$ be a complete metric space. Then $C^0 (X,Y)$ is complete under the uniform convergence metric.

Proving that the non-negative real line is complete

How to find a completion for a metric space (For instance, support compact continuous real functions)

Are there any sets that are not complete metric spaces under all possible metrics?

Choosing a correct option related to compactness and completeness about image of map.

On a version of Urysohn lemma for complete metric spaces, involving uniform continuous functions

If $(X,\|.\|_)$ is complete and $\|.\|_{} \leq \|.\|_{}$, then is $(X,\|.\|_{})$ complete?

Any finite dimensional normed linear space over a complete field is complete.

Complete metric space in which the large balls are not compact.

On a special type of sequence in complete metric space

Possible characterization of compact metric spaces via real-valued uniformly continuous functions?

A complete orthonormal system $\{e_i\}^\infty_{i=1}$ in $H$ is a basis in $H$

Proving the statement "$l^1$ is complete." differently.

completeness and the open mapping theorem

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