Question

Homeomorphism between compact subsets and their diameters

score 46 · Answer 1 · 2017-03-09 11:38:32

46

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Homeomorphism between compact subsets and their diameters

Published on 09 Mar 2017 - 11:38

score 357 · Answer 2 · 2026-03-28 01:48:49

357

Views

How to concretely find the characters and pure states of $L^\infty$?

Published on 28 Mar 2026 - 1:48

score 555 · Answer 3 · 2026-03-28 03:27:35

555

Views

Are all finite dimensional algebras over the real numbers `Banach algebra'-able

Published on 28 Mar 2026 - 3:27

score 265 · Answer 4 · 2017-03-11 21:49:21

265

Views

If a subspace is not complemented then the identity map can't be extended

Published on 11 Mar 2017 - 21:49

score 120 · Answer 5 · 2026-03-28 21:50:41

120

Views

Subnet or subsequence in Weak Topology?

Published on 28 Mar 2026 - 21:50

score 192 · Answer 6 · 2017-03-12 15:04:59

192

Views

Operator norm for operators on a reflexive normed space

Published on 12 Mar 2017 - 15:04

score 89 · Answer 7 · 2017-03-12 23:27:10

89

Views

how to prove that every cauchy sequence is a convergent sequence in $\mathbb{R}$

Published on 12 Mar 2017 - 23:27

score 125 · Answer 8 · 2017-03-13 10:55:29

125

Views

How to verify an exposed point in Banach space?

Published on 13 Mar 2017 - 10:55

score 1.4k · Answer 9 · 2017-03-13 23:48:49

1.4k

Views

Prove that $C^1$ is a Banach space with respect to a norm and that it is equivalent to the standard $C^1$ norm

Published on 13 Mar 2017 - 23:48

score 201 · Answer 10 · 2026-04-01 07:01:35

201

Views

Is the completion of $(\mathcal{S},\lVert \cdot \rVert)$ embedded in $\mathcal{S}'$ for any continuous (semi-)norm $\lVert \cdot \rVert$?

Published on 01 Apr 2026 - 7:01

score 280 · Answer 11 · 2017-03-16 22:11:44

280

Views

Is a linear functional $f$ on a normed vector space bounded if $f^{-1}(\{\lambda\})$ is closed for some $\lambda $ in the range of $f$?

Published on 16 Mar 2017 - 22:11

score 205 · Answer 12 · 2017-03-17 01:02:37

205

Views

How to prove that a certain subset of $L_p$ space is closed?

Published on 17 Mar 2017 - 1:02

score 422 · Answer 13 · 2017-03-17 01:34:29

422

Views

Two equivalent conditions of a strictly convex space.

Published on 17 Mar 2017 - 1:34

score 1.1k · Answer 14 · 2017-03-18 11:00:48

1.1k

Views

Is the uniform boundedness principle not trivially obvious?

Published on 18 Mar 2017 - 11:00

score 171 · Answer 15 · 2017-03-18 17:31:59

171

Views

Weak$^*$ convergence implies uniform convergence in reflexive Banach space?

Published on 18 Mar 2017 - 17:31

List Question

Homeomorphism between compact subsets and their diameters

How to concretely find the characters and pure states of $L^\infty$?

Are all finite dimensional algebras over the real numbers `Banach algebra'-able

If a subspace is not complemented then the identity map can't be extended

Subnet or subsequence in Weak Topology?

Operator norm for operators on a reflexive normed space

how to prove that every cauchy sequence is a convergent sequence in $\mathbb{R}$

How to verify an exposed point in Banach space?

Prove that $C^1$ is a Banach space with respect to a norm and that it is equivalent to the standard $C^1$ norm

Is the completion of $(\mathcal{S},\lVert \cdot \rVert)$ embedded in $\mathcal{S}'$ for any continuous (semi-)norm $\lVert \cdot \rVert$?

Is a linear functional $f$ on a normed vector space bounded if $f^{-1}(\{\lambda\})$ is closed for some $\lambda $ in the range of $f$?

How to prove that a certain subset of $L_p$ space is closed?

Two equivalent conditions of a strictly convex space.

Is the uniform boundedness principle not trivially obvious?

Weak$^*$ convergence implies uniform convergence in reflexive Banach space?

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