List questions from complete-spaces

Published on 19 Mar 2020 - 19:50

18

Views

Confusion with nomenclature of Cantor intersection property.

Published on 21 Mar 2026 - 22:20

78

Views

Virtual point of a metric space.

Published on 24 Mar 2020 - 16:02

129

Views

Proof Completeness of a Metric Space with Complex Measure

Published on 25 Mar 2026 - 7:43

60

Views

Difference between sequential criteria for total boundedness (Carothers Lemma 7.3 and Theorem 7.5)

Published on 28 Mar 2020 - 20:44

71

Views

Prove that $f^{-1}$ is uniformly continuous

Published on 30 Mar 2020 - 22:26

62

Views

Showing this space is complete

Published on 03 Apr 2020 - 14:29

85

Views

Is there a complete non barrelled locally convex space?

Published on 25 Mar 2026 - 20:42

435

Views

Prove that metric space of polynomial is not complete

Published on 11 Apr 2020 - 22:34

56

Views

Is $\mathbb{N}$ a complete metric space with this metric $d(a,b) = \sqrt{1-2\frac{\gcd(a,b)}{a+b}}$?

Published on 12 Apr 2020 - 9:22

67

Views

The Completion of a Measure Space.

Published on 14 Apr 2020 - 19:32

892

Views

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

Published on 14 Apr 2020 - 23:59

82

Views

A counterpart of Bolzano-Weierstass theorem in metric space.

Published on 17 Apr 2020 - 7:20

84

Views

Determine if $X=\{f\in C^1[0,1] | f(0)=f'(0)\}$ is complete WRT $||.||_{\infty}$ norm and show that $X$ is infinite dimensional.

Published on 22 Apr 2020 - 17:45

39

Views

The completion of $C_c(\mathbb{R}^k)$ with $\|f - g\|_p$ as a metric

Published on 05 May 2020 - 2:39

List Question

Completeness of the dual space of a Frechet Space

Confusion with nomenclature of Cantor intersection property.

Virtual point of a metric space.

Proof Completeness of a Metric Space with Complex Measure

Difference between sequential criteria for total boundedness (Carothers Lemma 7.3 and Theorem 7.5)

Prove that $f^{-1}$ is uniformly continuous

Showing this space is complete

Is there a complete non barrelled locally convex space?

Prove that metric space of polynomial is not complete

Is $\mathbb{N}$ a complete metric space with this metric $d(a,b) = \sqrt{1-2\frac{\gcd(a,b)}{a+b}}$?

The Completion of a Measure Space.

Can Hilbert spaces be defined over fields other than $\mathbb R$ and $\mathbb C$?

A counterpart of Bolzano-Weierstass theorem in metric space.

Determine if $X=\{f\in C^1[0,1] | f(0)=f'(0)\}$ is complete WRT $||.||_{\infty}$ norm and show that $X$ is infinite dimensional.

The completion of $C_c(\mathbb{R}^k)$ with $\|f - g\|_p$ as a metric

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